{"id":267918,"date":"2024-05-07T09:00:00","date_gmt":"2024-05-07T07:00:00","guid":{"rendered":"https:\/\/sherpas.com\/blog\/parents\/?p=267918"},"modified":"2024-05-03T16:31:46","modified_gmt":"2024-05-03T14:31:46","slug":"fractions","status":"publish","type":"post","link":"https:\/\/sherpas.com\/blog\/parents\/a\/fractions\/","title":{"rendered":"Petit rappel : les fractions \u270f\ufe0f"},"content":{"rendered":"\n<p>Elle est loin l\u2019\u00e9poque o\u00f9 vous portiez votre cartable avec une seule bretelle sur l\u2019\u00e9paule, o\u00f9 vous d\u00e9couvriez les bancs du <strong>coll\u00e8ge<\/strong> et o\u00f9 vous alliez aux cours de M. Pichard avec la boule au ventre parce que vous n&rsquo;\u00e9tiez pas tr\u00e8s bon en <strong>maths<\/strong>. \ud83d\ude13<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/9VlSQiTdO6xm0W53eS\/giphy.gif?cid=790b7611qdao86to0kb31j9wulmtfvtlsyz04qmacnyld752&amp;ep=v1_gifs_search&amp;rid=giphy.gif&amp;ct=g\" alt=\"un homme en pleine r\u00e9flexion math\u00e9matique\" style=\"width:423px;height:auto\"\/><figcaption class=\"wp-element-caption\"><em>Vous, dans chaque cours de maths de l&rsquo;\u00e9poque&#8230;<\/em><\/figcaption><\/figure><\/div>\n\n\n<p>On est sympa, on va vous replonger dans cette \u00e9poque merveilleuse. Mais promis, cette fois-ci, vous serez des g\u00e9nies des math\u00e9matiques et vous allez m\u00eame pouvoir <strong>aider votre enfant \u00e0 faire ses devoirs<\/strong>. Pr\u00eat ? C\u2019est parti ! \ud83d\ude80<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Les fractions, c\u2019est quoi ? \ud83e\uddd0<\/h2>\n\n\n\n<p>Reprenons <strong>les bases math\u00e9matiques du d\u00e9but du coll\u00e8ge<\/strong> et faisons un r\u00e9cap du cours sur les fractions !&nbsp;&nbsp;<\/p>\n\n\n<section class=\"relance\">\n        <div >\n                            <a target=\"_blank\" href=\"https:\/\/sherpas.com\/cours\/maths\">\n                    <div class=\"relance__container\"\n                        >\n                        \n                                                        <picture>\n                            <source srcset=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/relance-cours-particulier-8-scaled.jpg\" media=\"(min-width: 999px)\">\n                            <source srcset=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/relance-cours-particulier-8-scaled.jpg\" media=\"(max-width: 999px)\">\n                                <img decoding=\"async\"\n                                    src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/relance-cours-particulier-8-scaled.jpg\"\n                                    alt=\"Cours particuliers\"\n                                >\n                            <\/picture>\n                                                <div class=\"relance__content\">\n                            \n                                <div class=\"relance__title\"> <p>Votre enfant gal\u00e8re en maths ? Son premier cours particulier est gratuit !<\/p>\n<\/div>\n                                                        <button type=\"button\"\n                                    class=\"relance__button btn btn-white\">\n                                Trouvez le prof de maths id\u00e9al ! \n                            <\/button>\n                        <\/div>\n                    <\/div>\n                <\/a>\n                    <\/div>\n    <\/section>\n\n    \n\n\n<h3 class=\"wp-block-heading\">D\u00e9finitions \ud83e\udeb6<\/h3>\n\n\n\n<p>Une fraction est simplement une mani\u00e8re d\u2019\u00e9crire un nombre rationnel sous forme d\u2019un quotient (le r\u00e9sultat d\u2019une division) de deux nombres entiers. <strong>La fraction a\/b exprime le quotient de a par b (a \u00f7 b)<\/strong>. \u270d\ufe0f<\/p>\n\n\n\n<p>Exemple : La fraction 1\/4&nbsp; \u00e9quivaut \u00e0 1 \u00f7 4, ce qui vaut 0,25. Donc 1\/4 = 0,25.<\/p>\n\n\n\n<p>Parfois, la fraction n\u2019est pas \u00e9quivalente \u00e0 un nombre fini, comme le fameux 1\/3&nbsp; qui est \u00e9gale \u00e0 0,333333 (avec des 3 \u00e0 l\u2019infini), on \u00e9crit donc <strong>1\/3&nbsp; \u2248 0,33<\/strong>. \u267e\ufe0f<\/p>\n\n\n\n<p>D\u2019ailleurs, dans a\/b, <strong>on appelle \u00ab a \u00bb le num\u00e9rateur et \u00ab b \u00bb le d\u00e9nominateur<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Les fractions d\u00e9cimales \ud83d\udc40<\/h3>\n\n\n\n<p>Avec 1\/4 et 1\/3, on a essay\u00e9 de donner la valeur d\u2019une fraction sous forme d\u2019un nombre (0,25 ou 0,33), \u00e0 l\u2019inverse, on peut aussi tr\u00e8s bien <strong>partir d\u2019un nombre d\u00e9cimal et lui donner la forme d\u2019une fraction<\/strong>. \ud83d\udc4d<\/p>\n\n\n\n<p>D\u00e8s lors, lorsque vous avez un nombre d\u00e9cimal, vous pouvez toujours le ramener sous forme de fraction en utilisant <strong>un d\u00e9nominateur tel que 10, 100, 1000, etc. C\u2019est ce qu\u2019on nomme \u00ab une fraction d\u00e9cimale \u00bb<\/strong>. \ud83d\udcaf<\/p>\n\n\n\n<p>Exemple :&nbsp;<\/p>\n\n\n\n<p>3,4 = 34\/10&nbsp;<\/p>\n\n\n\n<p>1,12 = 112\/100.<\/p>\n\n\n\n<p>2,135 =&nbsp; 2 135\/1000.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Les fractions \u00e9gales \ud83d\udff0<\/h3>\n\n\n\n<p>Voici une propri\u00e9t\u00e9 importante dans l\u2019univers des fractions : <strong>on ne change pas une fraction lorsqu\u2019on multiplie son num\u00e9rateur et son d\u00e9nominateur par un m\u00eame nombre<\/strong>. \u2716\ufe0f<\/p>\n\n\n\n<p>En bref, si vous avez la fraction suivante : 3\/4 (\u00e9gale \u00e0 0,75 d\u2019ailleurs), vous n\u2019allez pas changer sa valeur si vous multipliez le \u00ab 3 \u00bb et le \u00ab 4 \u00bb par des nombres identiques. <strong>Ce qui nous donne, par exemple, 3\/4 = 6\/8 = 9\/12 = 30\/40<\/strong>. \ud83e\udde0<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p>\ud83d\udca1 La multiplication de deux fractions<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p><strong>Pour multiplier deux nombres fractionnaires,<\/strong> on multiplie les deux num\u00e9rateurs entre eux et, en parall\u00e8le, les deux d\u00e9nominateurs entre eux aussi.<\/p>\n<p>&nbsp;<\/p>\n<p>Ce qui nous donne : (4\/3) x (5\/8)<\/p>\n<p>= (4 x 5) \/ (3 x 8)<\/p>\n<p>= 20\/24<\/p>\n<p>= 5\/6 (on simplifie toujours si on le peut et 5\/6 est une simplification de 20\/24, on a juste divis\u00e9 par \u00ab 4 \u00bb le d\u00e9nominateur et le num\u00e9rateur de la fraction).<\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<h4 class=\"wp-block-heading\">Le quotient \u2797<\/h4>\n\n\n\n<p>Reprenons l\u2019exemple de 3\/4 = 6\/8 = 9\/12. Pour passer de 3\/4 \u00e0 6\/8 on a multipli\u00e9 en haut (num\u00e9rateur) et en bas (d\u00e9nominateur) par \u00ab 2 \u00bb puis on a multipli\u00e9 par \u00ab 3 \u00bb pour avoir 9\/12.&nbsp;<\/p>\n\n\n\n<p>Pour ce qui est de la division, <strong>c\u2019est la m\u00eame chose que la multiplication, mais dans le sens inverse<\/strong>, on peut dire que pour passer de 9\/12 \u00e0 3\/4, on a fait une division : en haut et en bas, par \u00ab 3 \u00bb et pour aller de 6\/8 \u00e0 3\/4, une division du num\u00e9rateur et du d\u00e9nominateur par \u00ab 2 \u00bb. \ud83d\udc4f<\/p>\n\n\n\n<p>En r\u00e9sum\u00e9, pour revenir \u00e0 notre propri\u00e9t\u00e9 sur la multiplication, on peut donc aussi dire qu\u2019<strong>une fraction ne change pas lorsqu&rsquo;on divise son num\u00e9rateur et son d\u00e9nominateur par le m\u00eame nombre<\/strong>. \ud83d\udcac<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p>\ud83d\udc41\ufe0f\u200d\ud83d\udde8\ufe0f Le quotient de deux fractions<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p>Sachez qu\u2019on a la propri\u00e9t\u00e9 suivante : a\/b \u00f7 cd<\/p>\n<p>= (a\/b) \/ (c\/d)<\/p>\n<p>= (a\/b) x (d\/c)<\/p>\n<p>&nbsp;<\/p>\n<p>Exemple :<\/p>\n<p>(1\/3) \/ (4\/6)<\/p>\n<p>= 1\/3\u00a0 x 6\/4<\/p>\n<p>= 6\/12<\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<p>Pour r\u00e9sumer cette partie, on peut simplement dire que <strong>deux fractions sont \u00e9gales quand leurs num\u00e9rateurs et d\u00e9nominateurs sont proportionnels<\/strong>. Autrement dit, <strong>la valeur d&rsquo;une fraction ne change pas quand on multiplie ou divise le num\u00e9rateur et le d\u00e9nominateur par un m\u00eame nombre<\/strong> non nul. \u2b50<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p>\u2795 Et l\u2019addition d\u2019un nombre alors, \u00e7a change la fraction ?<\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p>Si on prend 3\/4 et que l\u2019on ajoute \u00ab 5 \u00bb au num\u00e9rateur et \u00ab 5 \u00bb au d\u00e9nominateur, cela va nous donner (3 + 5) \/ (4 + 5), donc 8\/9. Mais 8\/9 n\u2019est pas \u00e9gal \u00e0 0,75 mais environ \u00e0 0,9.<\/p>\n<p>&nbsp;<\/p>\n<p>R\u00e9sultat : si on additionne un m\u00eame nombre au num\u00e9rateur et au d\u00e9nominateur, on n\u2019obtient pas n\u00e9cessairement une fraction \u00e9gale \u00e0 celle de base.<\/p>\n\n        <\/div>\n              <\/section>\n\n\n<section class=\"push \">\n        <div >\n            \n                                                <div class=\"push__container  qcd\" data-target=\"_self\" data-qcd=\"aHR0cHM6Ly9zaGVycGFzLmNvbS9wcm9mZXNzZXVycz9zaWdudXA9dHJ1ZQ==\" data-banner=\"2\" data-name=\"Cours part&amp;rsquo; global #1 = CPG1\" style=\"background-color: #F3FBF7\" >\n                                                                        <div class=\"push__teachers\">\n    <div class=\"d-flex justify-content-center d-md-none\">\n        <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\" alt=\"Logo Sherpas\">\n    <\/div>\n    <div class=\"swiper\">\n        <div class=\"swiper-wrapper\">\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Agathe2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Agathe<\/p>                          <p class=\"push__teachers-school\">ENS Lyon<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">19\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Emma2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Emma<\/p>                          <p class=\"push__teachers-school\">Dauphine<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">15\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Antoine2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Antoine<\/p>                          <p class=\"push__teachers-school\">Sciences Po Paris<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">18\u20ac\/h\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Margot2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Margot<\/p>                          <p class=\"push__teachers-school\">Arts et M\u00e9tiers ParisTech<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">22\u20ac\/h\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Clemence2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Cl\u00e9mence<\/p>                          <p class=\"push__teachers-school\">HEC Paris<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">21\u20ac\/h\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/David2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">David<\/p>                          <p class=\"push__teachers-school\">EDHEC<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">25\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Pierre2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Pierre<\/p>                          <p class=\"push__teachers-school\">ESSEC<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">16\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Olivier2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Olivier<\/p>                          <p class=\"push__teachers-school\">La Sorbonne<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">13\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                    <\/div>\n    <\/div>\n<\/div>\n                                                    <div class=\"push__content\">\n                                                            <div  class=\"d-none d-md-block\" >\n                                    <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\"\n                                        alt=\"Logo Sherpas\">\n                                <\/div>\n                                                                                        <div class=\"push__title\"><p>Besoin d&rsquo;un <span style=\"color: #48b378;\">prof particulier<\/span> exceptionnel ? \u2728<\/p>\n<\/div>\n                                                                                        <div class=\"push__text\"><p>Nos Sherpas sont l\u00e0 pour aider votre enfant \u00e0 progresser et \u00e0 prendre confiance en lui.<\/p>\n<\/div>\n                                                        <div class=\"push__promo-button   \">\n                                                                                                    <div\n                                        class=\"btn btn-primary\"\n                                        style=\"color: #ffffff; border-color: ; background-color: \"\n\n                                    >\n                                        PRENDRE UN COURS GRATUIT\n                                    <\/div>\n                                                            <\/div>\n                                                    <\/div>\n                                    <\/div>\n                                    <\/div>\n    <\/section>\n\n\n\n<h2 class=\"wp-block-heading\">R\u00e9duire au m\u00eame d\u00e9nominateur \ud83d\udc41\ufe0f<\/h2>\n\n\n\n<p>Pour simplifier les calculs, il faut \u00e9videmment chercher \u00e0 <strong>mettre les fractions au m\u00eame d\u00e9nominateur<\/strong> si on veut plus facilement faire des calculs (surtout additions et soustractions) ou bien m\u00eame comparer deux fractions entre elles.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Comment faire ? \ud83e\udd14<\/h3>\n\n\n\n<p><strong>Prenons deux fractions : 4\/6 et 8\/18<\/strong>. Compliqu\u00e9 de comparer ou faire une addition\/une soustraction entre des sixi\u00e8mes et des dix-huiti\u00e8mes, vous \u00eates bien d\u2019accord ?<strong> Pour nous faciliter la t\u00e2che, on va mettre ces deux nombres fractionnaires au m\u00eame d\u00e9nominateur<\/strong>. \ud83d\udd25<\/p>\n\n\n\n<p>Pour 4\/6, on peut effectivement passer du d\u00e9nominateur \u00ab 6 \u00bb \u00e0 \u00ab 18 \u00bb. On va donc multiplier 6 par 3, mais il faut aussi multiplier par le m\u00eame nombre (3) le num\u00e9rateur pour ne pas changer la fraction. <strong>On a donc 4\/6 = (4 x 3) \/ (6&#215;3) = 12\/18<\/strong>. \ud83e\udd2f<\/p>\n\n\n\n<p>Les deux fractions 12\/18 et 8\/18 sont donc au m\u00eame d\u00e9nominateur.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Comparer des fractions \ud83d\udd0e<\/h3>\n\n\n\n<p>D\u00e8s lors que les fractions sont sur le m\u00eame d\u00e9nominateur, on peut les comparer. Il \u00e9tait difficile de savoir quelle fraction \u00e9tait plus grande entre 4\/6 et 8\/18, mais maintenant qu\u2019on a 8\/18 et 12\/18 on peut dire que :&nbsp;<\/p>\n\n\n\n<p><strong>12\/18 &gt; 8\/18 et donc que 4\/6 &gt; 8\/18<\/strong>.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Additions et soustractions \ud83d\udc4c<\/h3>\n\n\n\n<p>Mettre au m\u00eame d\u00e9nominateur, \u00e7a sert aussi \u00e0 faire des additions et des soustractions plus facilement.&nbsp;<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">M\u00eame d\u00e9nominateur \u2714\ufe0f<\/h4>\n\n\n\n<p>Lorsqu\u2019on additionne deux fractions qui ont le m\u00eame d\u00e9nominateur, on additionne les num\u00e9rateurs et on garde le d\u00e9nominateur.<\/p>\n\n\n\n<p>Voici une jolie propri\u00e9t\u00e9 pour que cela soit plus clair : <strong>a\/D + b\/D = (a + b) \/ D<\/strong>. \ud83d\udcda<\/p>\n\n\n\n<p>Exemple :&nbsp;<\/p>\n\n\n\n<p>6\/5 + 7\/5&nbsp;<\/p>\n\n\n\n<p>= (6 + 7) \/ 5&nbsp;<\/p>\n\n\n\n<p>= 13\/5.&nbsp;<\/p>\n\n\n\n<p><strong>La propri\u00e9t\u00e9 est la m\u00eame pour les soustractions<\/strong> que celle pour les additions, ce qui nous donne donc, par exemple :&nbsp;<\/p>\n\n\n\n<p>8\/3 &#8211; 4\/3<\/p>\n\n\n\n<p>= (8 &#8211; 4) \/ 3<\/p>\n\n\n\n<p>= 4\/3.&nbsp;<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pas le m\u00eame d\u00e9nominateur \ud83d\ude2c<\/h4>\n\n\n\n<p><strong>Cette fois-ci, le d\u00e9nominateur des deux fractions n\u2019est pas le m\u00eame<\/strong> et nous voil\u00e0 bien emb\u00eat\u00e9s. Comment faire pour les additionner ou les soustraire ?&nbsp;<\/p>\n\n\n\n<p><strong>Prenons un exemple : 5\/8&nbsp; + 2\/4<\/strong>. D\u00e8s lors, comment calculer des huiti\u00e8mes avec des quarts ? C\u2019est tr\u00e8s simple, dans ce cas, car <strong>8 est un multiple de 4<\/strong> et on va pouvoir ramener la fraction 2\/4 sur le d\u00e9nominateur \u00ab 8 \u00bb. \ud83d\ude00<\/p>\n\n\n\n<p>Ce qui nous donne 5\/8 + 2\/4&nbsp;<\/p>\n\n\n\n<p>= 5\/8 + (2 x 2) \/ (4 x 2)<\/p>\n\n\n\n<p>= 5\/8 + 4\/8. Rappelez-vous, on ne change pas une fraction en multipliant son num\u00e9rateur et son d\u00e9nominateur par le m\u00eame nombre, la fraction 2\/4 est bien \u00e9gale \u00e0 4\/8.&nbsp;<\/p>\n\n\n\n<p>= 9\/8.&nbsp;<\/p>\n\n\n\n<p>Le principe est toujours le m\u00eame pour la soustraction, <strong>1\/5 &#8211; 2\/15<\/strong><\/p>\n\n\n\n<p>= (1 x 3) \/ (5 x 3) &#8211; 2\/15<\/p>\n\n\n\n<p>= 3\/15 &#8211; 2\/15<\/p>\n\n\n\n<p>= 1\/15.&nbsp;<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Recherche d\u2019un multiple commun \ud83e\udd1d<\/h4>\n\n\n\n<p><strong>Prenons l\u2019addition \u00ab 3\/9 + 4\/6 \u00bb<\/strong>. Au premier abord, on est dans la panade, car les deux fractions n\u2019ont pas le m\u00eame d\u00e9nominateur et qui plus est, 9 n\u2019est pas un multiple de 6 et inversement. \ud83d\udca2<\/p>\n\n\n\n<p>Pour r\u00e9aliser le calcul, il faut donc <strong>rechercher un multiple commun (le plus petit possible) de 6 et de 9<\/strong>. Quel est ce fameux multiple ? Roulement de tambour, c\u2019est 18. Eh oui, 6 x 3 = 18 et 9 x 2 = 18 aussi. \ud83c\udf40<\/p>\n\n\n\n<p>D\u00e8s lors, 3\/9 + 4\/6&nbsp;<\/p>\n\n\n\n<p>= (3 x 2) \/ (9 x 2) + (4 x 3) \/ (6 x 3)<\/p>\n\n\n\n<p>= 6\/18 + 12\/18<\/p>\n\n\n\n<p>= 18\/18<\/p>\n\n\n\n<p>= 1.&nbsp;<\/p>\n\n\n<section class=\"push \">\n        <div >\n            \n                                                <div class=\"push__container  qcd\" data-target=\"_self\" data-qcd=\"aHR0cHM6Ly9zaGVycGFzLmNvbS9wcm9mZXNzZXVycz9zaWdudXA9dHJ1ZQ==\" data-banner=\"2\" data-name=\"Cours part&amp;rsquo; global #2 = CPG2\" style=\"background-color: #F3FBF7\" >\n                                                                        <div class=\"push__teachers\">\n    <div class=\"d-flex justify-content-center d-md-none\">\n        <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\" alt=\"Logo Sherpas\">\n    <\/div>\n    <div class=\"swiper\">\n        <div class=\"swiper-wrapper\">\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Clemence2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Cl\u00e9mence<\/p>                          <p class=\"push__teachers-school\">HEC Paris<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">21\u20ac\/h\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Thibault2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Thibault<\/p>                          <p class=\"push__teachers-school\">ENS Paris Ulm<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">20\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Sophie2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Sophie<\/p>                          <p class=\"push__teachers-school\">Sciences Po Bordeaux<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">12\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Noemie2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">No\u00e9mie<\/p>                          <p class=\"push__teachers-school\">M2 en droit \u00e0 Assas<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">19\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Fanny2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Fanny<\/p>                          <p class=\"push__teachers-school\">Ponts ParisTech<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">19\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Simon2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Simon<\/p>                          <p class=\"push__teachers-school\">4e ann\u00e9e de m\u00e9decine<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">26\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Nicolas2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Nicolas<\/p>                          <p class=\"push__teachers-school\">CentraleSup\u00e9lec<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">17\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/content\/uploads\/sites\/3\/2023\/09\/Victor2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Victor<\/p>                          <p class=\"push__teachers-school\">ESCP<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">25\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                    <\/div>\n    <\/div>\n<\/div>\n                                                    <div class=\"push__content\">\n                                                            <div  class=\"d-none d-md-block\" >\n                                    <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\"\n                                        alt=\"Logo Sherpas\">\n                                <\/div>\n                                                                                        <div class=\"push__title\"><p>Le premier <span style=\"color: #48b378;\">cours particulier<\/span> est <span style=\"color: #48b378;\">offert !<\/span> \ud83c\udf81<\/p>\n<\/div>\n                                                                                        <div class=\"push__text\"><p>Aidez votre enfant en lui offrant des cours avec un \u00e9tudiant pass\u00e9 par une des meilleures \u00e9coles de France.<\/p>\n<\/div>\n                                                        <div class=\"push__promo-button   \">\n                                                                                                    <div\n                                        class=\"btn btn-primary\"\n                                        style=\"color: ; border-color: ; background-color: \"\n\n                                    >\n                                        J&rsquo;EN PROFITE MAINTENANT\n                                    <\/div>\n                                                            <\/div>\n                                                    <\/div>\n                                    <\/div>\n                                    <\/div>\n    <\/section>\n\n\n\n<h2 class=\"wp-block-heading\">R\u00e9cap \u2705<\/h2>\n\n\n\n<p>1\ufe0f\u20e3 Une fraction est simplement une mani\u00e8re d\u2019\u00e9crire un nombre rationnel sous forme d\u2019un quotient de deux nombres entiers. <strong>La fraction a\/b exprime le quotient de a par b (a \u00f7 b)<\/strong>.&nbsp;<\/p>\n\n\n\n<p>2\ufe0f\u20e3 <strong>Une fraction d\u00e9cimale est une fraction dont le d\u00e9nominateur est \u00e9gal \u00e0 10, 100, 1000, etc<\/strong>. Elle est utilis\u00e9e afin d\u2019exprimer un nombre d\u00e9cimal sous forme de fraction.&nbsp;<\/p>\n\n\n\n<p>3\ufe0f\u20e3 On ne change pas une fraction lorsqu&rsquo;on <strong>multiplie ou divise son num\u00e9rateur et son d\u00e9nominateur par le m\u00eame nombre<\/strong>.<\/p>\n\n\n\n<p>4\ufe0f\u20e3 Multiplier deux nombres fractionnaires, cela nous donne : <strong>(a\/b) x (c\/d) = (a x c) \/ (b x d).<\/strong>&nbsp;&nbsp;<\/p>\n\n\n\n<p>5\ufe0f\u20e3 Pour diviser deux fractions entre elles, cela nous donne : <strong>a\/b \u00f7 cd&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>= (a\/b) \/ (c\/d)<\/strong><\/p>\n\n\n\n<p><strong>= (a\/b) x (d\/c).&nbsp;<\/strong><\/p>\n\n\n\n<p>6\ufe0f\u20e3 Lorsqu\u2019on additionne (ou soustrait) deux fractions qui ont le m\u00eame d\u00e9nominateur,<strong> on additionne (ou soustrait) les num\u00e9rateurs et on garde le d\u00e9nominateur<\/strong>. C\u2019est pour cela que pour les additions et les soustractions, on cherche toujours \u00e0 ramener les deux fractions sur le m\u00eame d\u00e9nominateur afin de faire le calcul en toute simplicit\u00e9.&nbsp;<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Voil\u00e0 voil\u00e0, les fractions n\u2019ont plus de secrets pour vous et vous pouvez d\u00e9sormais <strong>r\u00e9pondre aux questions de votre enfant et l\u2019aider en maths<\/strong>. \ud83e\udec2<\/p>\n\n\n\n<p>Et si jamais les efforts de votre ado ne suffisent pas, n&rsquo;h\u00e9sitez pas \u00e0 lui prendre <a href=\"https:\/\/sherpas.com\/cours\/maths\/online\">des cours de soutien scolaire de maths en ligne<\/a> avec l\u2019un de nos professeurs ! \ud83d\ude42<\/p>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;267918&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;2&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;5&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;Vous avez aim\u00e9 cet article ?&quot;,&quot;legend&quot;:&quot;5\\\/5 - (2 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Petit rappel : les fractions \u270f\ufe0f&quot;,&quot;width&quot;:&quot;142.5&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 142.5px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            5\/5 - (2 votes)    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Elle est loin l\u2019\u00e9poque o\u00f9 vous portiez votre cartable avec une seule bretelle sur l\u2019\u00e9paule, o\u00f9 vous d\u00e9couvriez (&#8230;)<\/p>\n","protected":false},"author":356,"featured_media":267919,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":true,"footnotes":""},"category":[12,13],"tag":[],"class_list":["post-267918","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mettre-a-niveau","category-fiches-revision-parents"],"acf":[],"_links":{"self":[{"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/posts\/267918","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/users\/356"}],"replies":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/comments?post=267918"}],"version-history":[{"count":0,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/posts\/267918\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/media\/267919"}],"wp:attachment":[{"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/media?parent=267918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/category?post=267918"},{"taxonomy":"tag","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/parents\/wp-json\/wp\/v2\/tag?post=267918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}