{"id":44,"date":"2022-04-13T06:11:24","date_gmt":"2022-04-13T06:11:24","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=44"},"modified":"2025-11-21T07:05:26","modified_gmt":"2025-11-21T07:05:26","slug":"c-2-write-an-equivalent-ratio","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/c-2-write-an-equivalent-ratio\/","title":{"rendered":"C.2 Write an equivalent ratio"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Write an equivalent ratio<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-9-C.2-Write-an-equivalent-ratio__.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 What is a Ratio?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>ratio<\/strong> compares two or more quantities.<\/li>\n\n\n\n<li><strong>Example:<\/strong> If there are 4 red balls \ud83d\udfe5 and 2 blue balls \ud83d\udfe6, the ratio of red to blue balls is <strong>4:2<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">2\ufe0f\u20e3 Equivalent Ratios \ud83d\udd04<\/h3>\n\n\n\n<p><strong>Equivalent ratios<\/strong> are ratios that have the <strong>same value<\/strong> when simplified.<\/p>\n\n\n\n<p>They may look different but <strong>represent the same proportion<\/strong>.<\/p>\n\n\n\n<p><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4:2 \u2705<\/li>\n\n\n\n<li>8:4 \u2705<\/li>\n\n\n\n<li>12:6 \u2705<\/li>\n<\/ul>\n\n\n\n<p>All these are equivalent because they simplify to <strong>2:1<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">3\ufe0f\u20e3 How to Write an Equivalent Ratio \u270f\ufe0f<\/h3>\n\n\n\n<p><strong>Method 1: Multiply or Divide<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply or divide both terms of the ratio by the <strong>same number<\/strong>.<\/li>\n\n\n\n<li><strong>Example:<\/strong> 3:5 \u2192 multiply by 2 \u2192 <strong>6:10<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Method 2: Simplify<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide both terms by their <strong>greatest common factor (GCF)<\/strong>.<\/li>\n\n\n\n<li><strong>Example:<\/strong> 12:16 \u2192 divide by 4 \u2192 <strong>3:4<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">4\ufe0f\u20e3 Tips to Remember \ud83d\udca1<\/h3>\n\n\n\n<p>Always <strong>keep the order<\/strong> the same: first : second<\/p>\n\n\n\n<p>Check your ratio by <strong>cross-multiplying<\/strong> to see if it\u2019s equivalent<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 2:3 and 4:6 \u2192 2\u00d76 = 12, 3\u00d74 = 12 \u2705<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">5\ufe0f\u20e3 Fun Examples \ud83c\udfa8<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ratio of cats \ud83d\udc31 to dogs \ud83d\udc36 = 5:3 \u2192 Multiply by 2 \u2192 <strong>10:6<\/strong><\/li>\n\n\n\n<li>Ratio of pencils \u270f\ufe0f to erasers \ud83e\ude79 = 8:4 \u2192 Simplify \u2192 <strong>2:1<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-7142273355e607ee7ab79aa54e2d605b\" style=\"background-color:#facdfe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-a0afd5176e31b09990f5e087576fe6a2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udd14 Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:2.<\/strong><\/p>\n\n\n\n<p>7: ______<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete the ratio 7: ___ so that it is equivalent to 1:2.<\/p>\n\n\n\n<p>The second number is missing from 7: ___ . So, compare the first numbers of the two ratios.<\/p>\n\n\n\n<p>1:2<\/p>\n\n\n\n<p>7 :<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>7<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>7<\/strong><\/p>\n\n\n\n<p>So, to get ___ from the second number in 1:2, multiply by 7<\/p>\n\n\n\n<p>2 . 7 = 14<\/p>\n\n\n\n<p>This means 7:14 and 1:2 are equivalent ratios.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-b62805bbcab5d5f23391b0153ed9b66c\" style=\"background-color:#c3f4e6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-23203fbcc80afe9905bdd53c77f32692\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udd14 Find the number that makes the ratio equivalent to 1:5.<\/strong><\/p>\n\n\n\n<p>9:_____<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete the ratio 9: ______ so that it is equivalent to 1:5.<\/p>\n\n\n\n<p>The second number is missing from 9: _______. So, compare the first numbers of the two ratios.<\/p>\n\n\n\n<p>1:5<\/p>\n\n\n\n<p>9:___<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>9<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>9<\/strong>.<\/p>\n\n\n\n<p>So, to get ______ from the second number in 1:5, multiply by 9.<\/p>\n\n\n\n<p>5 . 9 = 45<\/p>\n\n\n\n<p>This means 9:45 and 1:5 are equivalent ratios.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-60c2b49406066f38d59de5abe7e48975\" style=\"background-color:#c1def8\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-6603001c49a96582146bf36abb38b0d3\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udd14 Find the number that makes the ratio equivalent to 1:6.<\/strong><\/p>\n\n\n\n<p>6:____<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete&nbsp;the ratio&nbsp;6: ___ so that it is equivalent to&nbsp;1:6 .<\/p>\n\n\n\n<p>The second number is missing from 6:_____. So, compare the first numbers of the two ratios.<\/p>\n\n\n\n<p><strong>1<\/strong>:6<\/p>\n\n\n\n<p><strong>6<\/strong>:<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>6<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>6<\/strong>.<\/p>\n\n\n\n<p>So, to get ___ from the second number in 1:6, multiply by 6.<\/p>\n\n\n\n<p>6 . 6 = 36<\/p>\n\n\n\n<p>This means 6:36 and 1:6 are equivalent ratios.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s Practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76287\/203\/236\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-19.png\" alt=\"\" class=\"wp-image-7323\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-19.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-19-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-19-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76300\/889\/341\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-20.png\" alt=\"\" class=\"wp-image-7324\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-20.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-20-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-20-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write an equivalent ratio key notes : 1\ufe0f\u20e3 What is a Ratio? 2\ufe0f\u20e3 Equivalent Ratios \ud83d\udd04 Equivalent ratios are ratios that have the same value when simplified. They may look different but represent the same proportion. Example: All these are equivalent because they simplify to 2:1. 3\ufe0f\u20e3 How to Write an Equivalent Ratio \u270f\ufe0f Method<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/c-2-write-an-equivalent-ratio\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.2 Write an equivalent ratio&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-44","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=44"}],"version-history":[{"count":23,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44\/revisions"}],"predecessor-version":[{"id":18258,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44\/revisions\/18258"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=44"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}