{"id":42,"date":"2022-04-13T06:11:05","date_gmt":"2022-04-13T06:11:05","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=42"},"modified":"2025-11-21T06:59:53","modified_gmt":"2025-11-21T06:59:53","slug":"c-1-identify-equivalent-ratios","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/c-1-identify-equivalent-ratios\/","title":{"rendered":"C.1 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<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-9-C.1-Identify-equivalent-ratios__-1.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<p class=\"has-large-font-size\"><strong>\ud83d\udcd6 What is a Ratio?<\/strong><\/p>\n\n\n\n<p>A <strong>ratio<\/strong> compares two or more quantities.<\/p>\n\n\n\n<p>Example: 2:3 means for every 2 of one thing, there are 3 of another.<\/p>\n\n\n\n<p>Can also be written as <strong>fractions<\/strong>: 2:3 = 2\/3 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\u2696\ufe0f Equivalent Ratios<\/strong><\/p>\n\n\n\n<p>Two ratios are <strong>equivalent<\/strong> if they express the same relationship.<\/p>\n\n\n\n<p>Example: 2:3 and 4:6 are equivalent because: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>2\/3 = 4\/6<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\u2716\ufe0f Multiplying or Dividing to Find Equivalent Ratios<\/strong><\/p>\n\n\n\n<p>Multiply or divide both terms of a ratio by the <strong>same number<\/strong>.<\/p>\n\n\n\n<p>Example: 5:8 \u2192 multiply by 2 \u2192 10:16 \u2705<\/p>\n\n\n\n<p>Example: 12:18 \u2192 divide by 6 \u2192 2:3 \u2705<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd04 Cross Multiplication Method<\/strong><\/p>\n\n\n\n<p>To check if two ratios are equivalent:<\/p>\n\n\n\n<p>For ratios <strong>a:b<\/strong> and <strong>c:d<\/strong>, check if: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>a\u00d7d = b\u00d7c<\/strong><\/p>\n\n\n\n<p>Example: Are 3:4 and 9:12 equivalent? <\/p>\n\n\n\n<p class=\"has-text-align-center\">3\u00d712=36 , 4\u00d79=36\u00a0\u2705<\/p>\n\n\n\n<p><strong>\ud83d\udcca Using Tables to Identify Equivalent Ratios<\/strong><\/p>\n\n\n\n<p><ul><li>Make a table of multiples to see if ratios match: <\/li><\/ul><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Ratio 1<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Ratio 2<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u2705 Both ratios are equivalent.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83c\udfaf Tip for Quick Recognition<\/strong><\/p>\n\n\n\n<p>Reduce ratios to <strong>lowest terms<\/strong>.<\/p>\n\n\n\n<p>If reduced ratios are the same, they are <strong>equivalent<\/strong>.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udca1 Real-Life Examples<\/strong><\/p>\n\n\n\n<p>Cooking \ud83c\udf72: 2 cups flour : 1 cup sugar \u2192 4:2 is equivalent.<\/p>\n\n\n\n<p>Maps \ud83d\uddfa\ufe0f: 1 cm : 5 km \u2192 2 cm : 10 km is equivalent.<\/p>\n\n\n\n<p>Mixing colors \ud83c\udfa8: 3 red : 2 blue \u2192 6 red : 4 blue is equivalent.<\/p>\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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-9620f47fa75a040312fb747a3d871b1e\" style=\"background-color:#e7bcf9\"><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-8b72303ef32cb0081ac355831342b7d3\"><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 Are the ratios 4:2 and 20:10 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>4:2 \u2794 4\/2<\/p>\n\n\n\n<p>20:10 \u2794 20\/10<\/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;2&nbsp;and&nbsp;10.&nbsp;You can use&nbsp;10&nbsp;as the common denominator since&nbsp;10&nbsp;is a multiple of&nbsp;2.<\/p>\n\n\n\n<p>Write&nbsp;4\/2 &nbsp;with a denominator of&nbsp;10.<\/p>\n\n\n\n<p>4\/2 = 4 . 5 \/ 2 . 5 = 20\/50<\/p>\n\n\n\n<p>So,&nbsp; 4\/2 and 20\/10 &nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 4:2 and 20:10 are equivalent.<\/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-ff3ffd3673bd94d58e4e11d2d777ca5e\" style=\"background-color:#bdf6b9\"><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-7ee487570d3261e341daf5f0e6e60e38\"><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 Are the ratios 15:12 and 10:6 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>15:12 \u2794 15\/12<\/p>\n\n\n\n<p>10:6 \u2794 10\/6<\/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;12&nbsp;and&nbsp;6.&nbsp;You can use&nbsp;12&nbsp;as the common denominator since&nbsp;12&nbsp;is a multiple of&nbsp;6.<\/p>\n\n\n\n<p>Write 10\/6&nbsp;with a denominator of&nbsp;12.<\/p>\n\n\n\n<p>10\/6 = 10 . 2 \/ 6 . 2 = 20\/10<\/p>\n\n\n\n<p>So,&nbsp; 15\/12 and 10\/6 &nbsp;are not&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 15:12 and 10:6 are not equivalent.<\/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-18f2d35c917142ca098a4907a0f60908\" style=\"background-color:#b1f4ed\"><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-4ccd59f3a4832c02104faf06876bb175\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>Are the ratios 5:1 and 10:2 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<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-8374\" style=\"width:176px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\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;1&nbsp;and&nbsp;2.&nbsp;You can use&nbsp;2&nbsp;as the common denominator since&nbsp;2&nbsp;is a multiple of&nbsp;1.<\/p>\n\n\n\n<p>Write&nbsp;5\/1&nbsp;with a denominator of&nbsp;2.<\/p>\n\n\n\n<p>So,&nbsp;5\/1 and 10\/2&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 5:1 and 10:2 <strong>are equivalent.<\/strong><\/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\/76286\/959\/614\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-18.png\" alt=\"\" class=\"wp-image-7320\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-18.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-18-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-18-150x150.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\/544\/239\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-19.png\" alt=\"\" class=\"wp-image-7321\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-19.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-19-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-19-150x150.png 150w\" 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\udcd6 What is a Ratio? A ratio compares two or more quantities. Example: 2:3 means for every 2 of one thing, there are 3 of another. Can also be written as fractions: 2:3 = 2\/3 \u2705 \u2696\ufe0f Equivalent Ratios Two ratios are equivalent if they express the same relationship.<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/c-1-identify-equivalent-ratios\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.1 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-42","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/42","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=42"}],"version-history":[{"count":18,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/42\/revisions"}],"predecessor-version":[{"id":18257,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/42\/revisions\/18257"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}