{"id":194,"date":"2022-04-12T09:51:14","date_gmt":"2022-04-12T09:51:14","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=194"},"modified":"2025-12-19T05:08:39","modified_gmt":"2025-12-19T05:08:39","slug":"j-2-identify-equivalent-ratios","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/j-2-identify-equivalent-ratios\/","title":{"rendered":"J.2 Identify equivalent ratios"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Identify equivalent ratios<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd39 What is a Ratio?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>ratio<\/strong> compares two quantities using <strong>:`<\/strong> or <strong>fraction form<\/strong> \ud83d\udcd0<\/li>\n\n\n\n<li>Example: <strong>2 : 4<\/strong> or <strong>2\/4<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd39 What Are Equivalent Ratios?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equivalent ratios<\/strong> are different ratios that show the <strong>same comparison<\/strong> \ud83d\udd01<\/li>\n\n\n\n<li>They look different but have the <strong>same value<\/strong> \u2705<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udc49 Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>2 : 4<\/strong>, <strong>4 : 8<\/strong>, <strong>6 : 12<\/strong> are all equivalent \ud83c\udfaf<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd39 How to Identify Equivalent Ratios?<\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">\u2b50 Method 1: Multiply or Divide<\/h4>\n\n\n\n<p>Multiply <strong>or<\/strong> divide <strong>both numbers<\/strong> by the <strong>same number<\/strong> \u2716\ufe0f\u2797<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>3 : 5<\/strong><\/li>\n\n\n\n<li>Multiply both by 2 \u2192 <strong>6 : 10<\/strong> \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u2b50 Method 2: Simplify the Ratio<\/h4>\n\n\n\n<p>Divide both numbers by their <strong>common factor<\/strong> \ud83d\udd0d<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>8 : 12<\/strong><\/li>\n\n\n\n<li>Divide by 4 \u2192 <strong>2 : 3<\/strong> \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u2b50 Method 3: Use Fractions<\/h4>\n\n\n\n<p>Change ratios into <strong>fractions<\/strong> and simplify \ud83e\uddee<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>6 : 9 = 6\/9 = 2\/3<\/strong> \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u2b50 Method 4: Cross Multiplication<\/h4>\n\n\n\n<p>For ratios <strong>a : b<\/strong> and <strong>c : d<\/strong><\/p>\n\n\n\n<p>If <strong>a \u00d7 d = b \u00d7 c<\/strong>, they are equivalent \ud83d\udd04<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>2 : 3<\/strong> and <strong>4 : 6<\/strong><\/li>\n\n\n\n<li>2 \u00d7 6 = 12, 3 \u00d7 4 = 12 \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd39 Using Tables to Check Equivalent Ratios \ud83d\udccb<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Apples \ud83c\udf4e<\/th><th>Oranges \ud83c\udf4a<\/th><\/tr><\/thead><tbody><tr><td>2<\/td><td>4<\/td><\/tr><tr><td>4<\/td><td>8<\/td><\/tr><tr><td>6<\/td><td>12<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u2714\ufe0f All rows show the <strong>same ratio<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd39 Real-Life Examples \ud83c\udf0d<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Recipes \ud83c\udf70 (2 cups flour : 4 cups milk)<\/li>\n\n\n\n<li>Maps \ud83d\uddfa\ufe0f (1 cm : 10 km)<\/li>\n\n\n\n<li>Classroom groups \ud83d\udc69\u200d\ud83c\udf93\ud83d\udc68\u200d\ud83c\udf93 (5 boys : 10 girls)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 Quick Tips \ud83d\udca1<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always treat <strong>both numbers equally<\/strong> \u2696\ufe0f<\/li>\n\n\n\n<li>If only one number changes \u2192 \u274c Not equivalent<\/li>\n\n\n\n<li>Simplest form helps compare easily \u2b50<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d2fadc\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f Are&nbsp;the ratios&nbsp;20:10&nbsp;and&nbsp;2:1&nbsp;equivalent?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>20 : 10 \u27a1\ufe0f 20\/10<\/p>\n\n\n\n<p>2 : 1 \u27a1\ufe0f 2\/1<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;10&nbsp;and&nbsp;1.&nbsp;You can use&nbsp;10&nbsp;as the common denominator since&nbsp;10&nbsp;is a multiple of&nbsp;1.<\/p>\n\n\n\n<p>Write&nbsp;2\/1 with a denominator of&nbsp;10.<\/p>\n\n\n\n<p>2\/1 = 2 . 10 \/ 1.10 = 20\/10<\/p>\n\n\n\n<p>So,&nbsp;20\/10 and&nbsp;2\/1 are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 20:10 and 2:1 <strong>are equivalent<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f1f5cb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Are&nbsp;the ratios&nbsp;8:16&nbsp;and&nbsp;1:2&nbsp;equivalent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.<\/p>\n\n\n\n<p>The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>8 : 16 \u27a1\ufe0f 8\/16<\/p>\n\n\n\n<p>1 : 2 \u27a1\ufe0f 1\/2<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;16&nbsp;and&nbsp;2.&nbsp;You can use&nbsp;16&nbsp;as the common denominator since&nbsp;16&nbsp;is a multiple of&nbsp;2.<\/p>\n\n\n\n<p>Write&nbsp;1\/2&nbsp;with a denominator of&nbsp;16.<\/p>\n\n\n\n<p>1\/2 = 1 . 8  \/ 2 .8 = 8\/16<\/p>\n\n\n\n<p>So,&nbsp;8\/16 and&nbsp;1\/2 &nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 8:16 and 1:2 are equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#facbff\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Are&nbsp;the ratios&nbsp;4:20&nbsp;and&nbsp;1:5&nbsp;equivalent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.<\/p>\n\n\n\n<p>The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>4 : 20 \u27a1\ufe0f  4\/20<\/p>\n\n\n\n<p>1 : 5 \u27a1\ufe0f  1\/5<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;20&nbsp;and&nbsp;5.&nbsp;You can use&nbsp;20&nbsp;as the common denominator since&nbsp;20&nbsp;is a multiple of&nbsp;5.<\/p>\n\n\n\n<p>Write 1\/5 with a denominator of&nbsp;20.<\/p>\n\n\n\n<p>1\/5 = 1 . 4 \/ 5 .4 = 4\/20<\/p>\n\n\n\n<p>So,&nbsp;4\/20 and&nbsp;1\/5 are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 4:20 and 1:5 are equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\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\/85891\/325\/371\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-308.png\" alt=\"\" class=\"wp-image-7549\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-308.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-308-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-308-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-308-400x400.png 400w\" 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\/31175\/873\/940\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-318.png\" alt=\"\" class=\"wp-image-7550\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-318.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-318-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-318-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-318-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify equivalent ratios Key notes: \ud83d\udd39 What is a Ratio? \ud83d\udd39 What Are Equivalent Ratios? \ud83d\udc49 Example: \ud83d\udd39 How to Identify Equivalent Ratios? \u2b50 Method 1: Multiply or Divide Multiply or divide both numbers by the same number \u2716\ufe0f\u2797 Example: \u2b50 Method 2: Simplify the Ratio Divide both numbers by their common factor \ud83d\udd0d Example:<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/j-2-identify-equivalent-ratios\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.2 Identify equivalent ratios&#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,"footnotes":""},"class_list":["post-194","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=194"}],"version-history":[{"count":12,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions"}],"predecessor-version":[{"id":17646,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions\/17646"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}