{"id":3620,"date":"2020-09-02T10:30:39","date_gmt":"2020-09-02T08:30:39","guid":{"rendered":"http:\/\/clubmathswillyronis.free.fr\/?p=3620"},"modified":"2025-05-28T09:55:23","modified_gmt":"2025-05-28T07:55:23","slug":"chapitre-13-les-fractions","status":"publish","type":"post","link":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/","title":{"rendered":"Chapitre 17 : \u00c9critures fractionnaires d&rsquo;un quotient"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3620\" class=\"elementor elementor-3620\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3f29c59a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"3f29c59a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z M242.4,8.6\tc0,0-2.4-0.2-5.6-0.9c-3.2-0.8-10.3-2.8-15.1-3.5c-8.2-1.1-15.8,0-15.1,0.1c0.8,0.1,9.6-0.6,17.6,1.1c3.3,0.7,9.3,2.2,12.4,2.7\tC239.9,8.7,242.4,8.6,242.4,8.6z M185.2,8.5c1.7-0.7-13.3,4.7-18.5,6.1c-2.1,0.6-6.2,1.6-10,2c-3.9,0.4-8.9,0.4-8.8,0.5\tc0,0.2,5.8,0.8,11.2,0c5.4-0.8,5.2-1.1,7.6-1.6C170.5,14.7,183.5,9.2,185.2,8.5z M199.1,6.9c0.2,0-0.8-0.4-4.8,1.1\tc-4,1.5-6.7,3.5-6.9,3.7c-0.2,0.1,3.5-1.8,6.6-3C197,7.5,199,6.9,199.1,6.9z M283,6c-0.1,0.1-1.9,1.1-4.8,2.5s-6.9,2.8-6.7,2.7\tc0.2,0,3.5-0.6,7.4-2.5C282.8,6.8,283.1,5.9,283,6z M31.3,11.6c0.1-0.2-1.9-0.2-4.5-1.2s-5.4-1.6-7.8-2C15,7.6,7.3,8.5,7.7,8.6\tC8,8.7,15.9,8.3,20.2,9.3c2.2,0.5,2.4,0.5,5.7,1.6S31.2,11.9,31.3,11.6z M73,9.2c0.4-0.1,3.5-1.6,8.4-2.6c4.9-1.1,8.9-0.5,8.9-0.8\tc0-0.3-1-0.9-6.2-0.3S72.6,9.3,73,9.2z M71.6,6.7C71.8,6.8,75,5.4,77.3,5c2.3-0.3,1.9-0.5,1.9-0.6c0-0.1-1.1-0.2-2.7,0.2\tC74.8,5.1,71.4,6.6,71.6,6.7z M93.6,4.4c0.1,0.2,3.5,0.8,5.6,1.8c2.1,1,1.8,0.6,1.9,0.5c0.1-0.1-0.8-0.8-2.4-1.3\tC97.1,4.8,93.5,4.2,93.6,4.4z M65.4,11.1c-0.1,0.3,0.3,0.5,1.9-0.2s2.6-1.3,2.2-1.2s-0.9,0.4-2.5,0.8C65.3,10.9,65.5,10.8,65.4,11.1\tz M34.5,12.4c-0.2,0,2.1,0.8,3.3,0.9c1.2,0.1,2,0.1,2-0.2c0-0.3-0.1-0.5-1.6-0.4C36.6,12.8,34.7,12.4,34.5,12.4z M152.2,21.1\tc-0.1,0.1-2.4-0.3-7.5-0.3c-5,0-13.6-2.4-17.2-3.5c-3.6-1.1,10,3.9,16.5,4.1C150.5,21.6,152.3,21,152.2,21.1z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M269.6,18c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC267.7,18.8,269.7,18,269.6,18z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M227.4,9.8c-0.2-0.1-4.5-1-9.5-1.2c-5-0.2-12.7,0.6-12.3,0.5c0.3-0.1,5.9-1.8,13.3-1.2\tS227.6,9.9,227.4,9.8z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M204.5,13.4c-0.1-0.1,2-1,3.2-1.1c1.2-0.1,2,0,2,0.3c0,0.3-0.1,0.5-1.6,0.4\tC206.4,12.9,204.6,13.5,204.5,13.4z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M201,10.6c0-0.1-4.4,1.2-6.3,2.2c-1.9,0.9-6.2,3.1-6.1,3.1c0.1,0.1,4.2-1.6,6.3-2.6\tS201,10.7,201,10.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-1c8c06a8\" data-id=\"1c8c06a8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3b62ff29 elementor-widget elementor-widget-heading\" data-id=\"3b62ff29\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 17<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b7e4848 elementor-widget elementor-widget-heading\" data-id=\"b7e4848\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Ecritures fractionnaires d'un quotient<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a0dc63 elementor-widget elementor-widget-text-editor\" data-id=\"5a0dc63\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2f301ae\" data-id=\"2f301ae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5648ea16 elementor-widget elementor-widget-image\" data-id=\"5648ea16\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-300x300.png\" class=\"attachment-medium size-medium wp-image-10630\" alt=\"cours de 6\u00e8me\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-300x300.png 300w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-150x150.png 150w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-768x768.png 768w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png 912w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-33ceb80 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33ceb80\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8637559\" data-id=\"8637559\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-466b1d7 elementor-widget elementor-widget-spacer\" data-id=\"466b1d7\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d8e70a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6d8e70a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-620ebc9\" data-id=\"620ebc9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cbc4bfa elementor-widget elementor-widget-heading\" data-id=\"cbc4bfa\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 17 : Ecriture fractionnaire d'un quotient<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-05efdbf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"05efdbf\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5d77992\" data-id=\"5d77992\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f00c9a elementor-widget elementor-widget-spacer\" data-id=\"8f00c9a\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-448552e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"448552e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b3f64cf\" data-id=\"b3f64cf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-734a6bb elementor-widget elementor-widget-heading\" data-id=\"734a6bb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">A) Fraction-quotient<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1847c8e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1847c8e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-43c5605\" data-id=\"43c5605\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e02ce1d elementor-widget elementor-widget-text-editor\" data-id=\"e02ce1d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Le <span style=\"color: #ff0000;\"><strong>quotient<\/strong><\/span> de deux nombres $a$ et $b$ (avec $b$ non nul) est le nombre qui multipli\u00e9 par $b$ donne $a$. Sous forme fractionnaire, le quotient de $a$ par $b$ s\u2019\u00e9crit $\\dfrac{\\text{a}}{\\text{b}}$ (avec $\\text{b}\\neq 0$).<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ccc72da elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ccc72da\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d52a53b\" data-id=\"d52a53b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-379b05a elementor-widget elementor-widget-text-editor\" data-id=\"379b05a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong> Par quel nombre faut-il multiplier $3$ pour trouver $4$ ?<br \/>Le nombre cherch\u00e9 est le quotient de $4$ par $3$, c&rsquo;est \u00e0 dire le nombre qui, multipli\u00e9 par $3$, donne $4$ :<\/p><p>\\[3\\times \\text{?}=4\\]\\[3\\times \\dfrac{4}{3}=4\\]Ainsi, $\\dfrac{4}{3}=4\\div 3$. Repr\u00e9sentation sur une demi-droite gradu\u00e9e:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-13468 size-full\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/03\/demi-droite-graduee.png\" alt=\"\" width=\"830\" height=\"219\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/03\/demi-droite-graduee.png 830w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/03\/demi-droite-graduee-300x79.png 300w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/03\/demi-droite-graduee-768x203.png 768w\" sizes=\"auto, (max-width: 830px) 100vw, 830px\" \/><\/p><p>Encadrement par deux entiers cons\u00e9cutifs :<br \/>\\[1&lt;\\dfrac{4}{3}&lt;2\\]Somme d&rsquo;un entier et d&rsquo;une fraction inf\u00e9rieure \u00e0 $1$ :<br \/>\\[\\dfrac{4}{3}=1+\\dfrac{1}{3}\\]\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b9921c5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b9921c5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-46dd907\" data-id=\"46dd907\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-42b6a97 elementor-widget elementor-widget-video\" data-id=\"42b6a97\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/Bpbx5ofDOyI?t=42&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7dc7933 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7dc7933\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-aa1f505\" data-id=\"aa1f505\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0119923 elementor-widget elementor-widget-spacer\" data-id=\"0119923\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-41faa97 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"41faa97\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fd137c0\" data-id=\"fd137c0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fbad99a elementor-widget elementor-widget-video\" data-id=\"fbad99a\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/OObx_NW2bXI&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b27787a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b27787a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6bec197\" data-id=\"6bec197\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f59924 elementor-widget elementor-widget-spacer\" data-id=\"5f59924\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ecb7337 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ecb7337\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1316c74\" data-id=\"1316c74\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6beb945 elementor-widget elementor-widget-heading\" data-id=\"6beb945\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">B) Ecriture fractionnaire et \u00e9criture d\u00e9cimale<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-afb193c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"afb193c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c603460\" data-id=\"c603460\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d223e88 elementor-widget elementor-widget-text-editor\" data-id=\"d223e88\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Certains quotients poss\u00e8dent une \u00e9criture d\u00e9cimale, pour l\u2019obtenir il suffit de diviser le num\u00e9rateur par le d\u00e9nominateur.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4408bbf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4408bbf\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a645066\" data-id=\"a645066\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9c25482 elementor-widget elementor-widget-text-editor\" data-id=\"9c25482\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong> $\\dfrac{3}{4}=3\\div 4=0,75$<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-01f8c2a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"01f8c2a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d9e70e8\" data-id=\"d9e70e8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e1df34 elementor-widget elementor-widget-text-editor\" data-id=\"1e1df34\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>En revanche, certains quotients ne peuvent pas s\u2019\u00e9crire sous la forme d\u2019un nombre d\u00e9cimal. Il est alors possible de<br \/>donner une valeur approch\u00e9e du quotient.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f96714c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f96714c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-34b58a9\" data-id=\"34b58a9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2653efd elementor-widget elementor-widget-text-editor\" data-id=\"2653efd\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong> $\\dfrac{11}{6}\\approx 1,833$ (valeur approch\u00e9e de ce quotient au milli\u00e8me pr\u00e8s.)<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2e8ef1b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2e8ef1b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6c57cf5\" data-id=\"6c57cf5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f1a103 elementor-widget elementor-widget-spacer\" data-id=\"5f1a103\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f723f0e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f723f0e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-50ce680\" data-id=\"50ce680\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ad6a877 elementor-widget elementor-widget-heading\" data-id=\"ad6a877\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">C) Prendre une fraction d'un nombre<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0545459 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0545459\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-df722ee\" data-id=\"df722ee\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-503b5cc elementor-widget elementor-widget-text-editor\" data-id=\"503b5cc\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Propri\u00e9t\u00e9 :<\/strong> Prendre une fraction d\u2019un nombre, c\u2019est multiplier cette fraction par ce nombre.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b5655a5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b5655a5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-023de3c\" data-id=\"023de3c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b7a239c elementor-widget elementor-widget-text-editor\" data-id=\"b7a239c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong> Pour calculer $\\dfrac{2}{5}$ de 15, on peut proc\u00e9der de diff\u00e9rentes fa\u00e7ons :<\/p><ul><li>$\\dfrac{2}{5}\\times 15=2\\times \\dfrac{15}{5}=2\\times 3=6$<\/li><li>$\\dfrac{2}{5}\\times 15=\\dfrac{2\\times 15}{5}=\\dfrac{30}{5}=6$<\/li><li>$\\dfrac{2}{5}\\times 15=0,4\\times 15=6$<br \/><br \/><\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b59de50 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b59de50\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-562dd57\" data-id=\"562dd57\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-920c39d elementor-widget elementor-widget-text-editor\" data-id=\"920c39d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Remarque :<\/strong> Dans l&rsquo;exemple ci-dessus, les deux premi\u00e8re fa\u00e7ons sont \u00e0 privil\u00e9gier car les calculs sont plus simples \u00e0 effectuer.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c0dab5f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c0dab5f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4091958\" data-id=\"4091958\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-52795af elementor-widget elementor-widget-spacer\" data-id=\"52795af\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2f63806 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2f63806\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-37b99a9\" data-id=\"37b99a9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a75ff06 elementor-widget elementor-widget-text-editor\" data-id=\"a75ff06\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Bilan :<\/strong> Dans ce chapitre, je dois savoir :<\/p><ul><li>Donner diff\u00e9rentes \u00e9critures d\u2019un quotient de deux nombres.<\/li><li>Comparer des fractions au nombre 1.<\/li><li>Prendre une fraction d\u2019un nombre.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d7fd943 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d7fd943\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7e857c1\" data-id=\"7e857c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5aeee9d elementor-widget elementor-widget-spacer\" data-id=\"5aeee9d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9b23201 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9b23201\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-07a9a28\" data-id=\"07a9a28\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7d1c59c elementor-align-center elementor-button-info elementor-invisible elementor-widget elementor-widget-button\" data-id=\"7d1c59c\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;zoomIn&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/nuage02.apps.education.fr\/index.php\/s\/NZdmLxCPC4oLrEf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-right\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Exercices corrig\u00e9s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1c3c1083 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1c3c1083\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-47b3658\" data-id=\"47b3658\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5507819 elementor-align-center elementor-button-info elementor-invisible elementor-widget elementor-widget-button\" data-id=\"5507819\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;zoomIn&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/creteil.college-willy-ronis.fr\/course\/view.php?id=2\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-right\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">J'acc\u00e8de \u00e0 d'autres documents<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Chapitre 17 Ecritures fractionnaires d&rsquo;un quotient Chapitre 17 : Ecriture fractionnaire d&rsquo;un quotient A) Fraction-quotient D\u00e9finition : Le quotient de deux nombres $a$ et $b$ (avec $b$ non nul) est le nombre qui multipli\u00e9 par $b$ donne $a$. Sous forme fractionnaire, le quotient de $a$ par $b$ s\u2019\u00e9crit $dfrac{text{a}}{text{b}}$ (avec $text{b}neq 0$). Exemple : Par [&hellip;]<\/p>\n","protected":false},"author":7440,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[31],"tags":[],"class_list":["post-3620","post","type-post","status-publish","format-standard","hentry","category-cours-et-exercices-6eme"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Chapitre 17 : \u00c9critures fractionnaires d&#039;un quotient - 6\u00e8me<\/title>\n<meta name=\"description\" content=\"Cours de math\u00e9matiques de 6\u00e8me sur l&#039;\u00e9criture fractionnaire d&#039;un quotient, l&#039;activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Chapitre 17 : \u00c9critures fractionnaires d&#039;un quotient - 6\u00e8me\" \/>\n<meta property=\"og:description\" content=\"Cours de math\u00e9matiques de 6\u00e8me sur l&#039;\u00e9criture fractionnaire d&#039;un quotient, l&#039;activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\" \/>\n<meta property=\"og:url\" content=\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/\" \/>\n<meta property=\"og:site_name\" content=\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\" \/>\n<meta property=\"article:published_time\" content=\"2020-09-02T08:30:39+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-28T07:55:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png\" \/>\n\t<meta property=\"og:image:width\" content=\"912\" \/>\n\t<meta property=\"og:image:height\" content=\"912\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"eric_moisan@orange.fr\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"eric_moisan@orange.fr\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/\",\"name\":\"Chapitre 17 : \u00c9critures fractionnaires d'un quotient - 6\u00e8me\",\"isPartOf\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-300x300.png\",\"datePublished\":\"2020-09-02T08:30:39+00:00\",\"dateModified\":\"2025-05-28T07:55:23+00:00\",\"author\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\"},\"description\":\"Cours de math\u00e9matiques de 6\u00e8me sur l'\u00e9criture fractionnaire d'un quotient, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\",\"breadcrumb\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png\",\"contentUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png\",\"width\":912,\"height\":912,\"caption\":\"cours de 6\u00e8me\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/college-willy-ronis.fr\/maths\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Chapitre 17 : \u00c9critures fractionnaires d&rsquo;un quotient\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/\",\"name\":\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\",\"description\":\"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\",\"name\":\"eric_moisan@orange.fr\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"caption\":\"eric_moisan@orange.fr\"},\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Chapitre 17 : \u00c9critures fractionnaires d'un quotient - 6\u00e8me","description":"Cours de math\u00e9matiques de 6\u00e8me sur l'\u00e9criture fractionnaire d'un quotient, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/","og_locale":"fr_FR","og_type":"article","og_title":"Chapitre 17 : \u00c9critures fractionnaires d'un quotient - 6\u00e8me","og_description":"Cours de math\u00e9matiques de 6\u00e8me sur l'\u00e9criture fractionnaire d'un quotient, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","og_url":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/","og_site_name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","article_published_time":"2020-09-02T08:30:39+00:00","article_modified_time":"2025-05-28T07:55:23+00:00","og_image":[{"width":912,"height":912,"url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png","type":"image\/png"}],"author":"eric_moisan@orange.fr","twitter_card":"summary_large_image","twitter_misc":{"\u00c9crit par":"eric_moisan@orange.fr","Dur\u00e9e de lecture estim\u00e9e":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/","url":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/","name":"Chapitre 17 : \u00c9critures fractionnaires d'un quotient - 6\u00e8me","isPartOf":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#website"},"primaryImageOfPage":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage"},"image":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage"},"thumbnailUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve-300x300.png","datePublished":"2020-09-02T08:30:39+00:00","dateModified":"2025-05-28T07:55:23+00:00","author":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc"},"description":"Cours de math\u00e9matiques de 6\u00e8me sur l'\u00e9criture fractionnaire d'un quotient, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","breadcrumb":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#primaryimage","url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png","contentUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2022\/02\/eleve.png","width":912,"height":912,"caption":"cours de 6\u00e8me"},{"@type":"BreadcrumbList","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-13-les-fractions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/college-willy-ronis.fr\/maths\/"},{"@type":"ListItem","position":2,"name":"Chapitre 17 : \u00c9critures fractionnaires d&rsquo;un quotient"}]},{"@type":"WebSite","@id":"https:\/\/college-willy-ronis.fr\/maths\/#website","url":"https:\/\/college-willy-ronis.fr\/maths\/","name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","description":"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Person","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc","name":"eric_moisan@orange.fr","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","caption":"eric_moisan@orange.fr"},"url":"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/"}]}},"_links":{"self":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/3620","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/users\/7440"}],"replies":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/comments?post=3620"}],"version-history":[{"count":19,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/3620\/revisions"}],"predecessor-version":[{"id":19375,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/3620\/revisions\/19375"}],"wp:attachment":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/media?parent=3620"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/categories?post=3620"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/tags?post=3620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}