{"id":206,"date":"2022-04-12T09:53:18","date_gmt":"2022-04-12T09:53:18","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=206"},"modified":"2025-12-19T05:24:02","modified_gmt":"2025-12-19T05:24:02","slug":"j-8-do-the-ratios-form-a-proportion","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/j-8-do-the-ratios-form-a-proportion\/","title":{"rendered":"J.8 Do the ratios form a proportion?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Do the ratios form a proportion?<\/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<p class=\"has-large-font-size\">\ud83d\udd22 <strong>What is a Ratio?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A ratio compares two quantities using <strong>: , \/ , or words<\/strong><\/li>\n\n\n\n<li>Example: <strong>2 : 4<\/strong>, <strong>2\/4<\/strong>, or <em>2 to 4<\/em> \ud83c\udf4e\ud83c\udf4e\ud83c\udf4e\ud83c\udf4e<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\u2696\ufe0f <strong>What is a Proportion?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A proportion says <strong>two ratios are equal<\/strong><\/li>\n\n\n\n<li>Example: <strong>2 : 4 = 3 : 6<\/strong> \u2705<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\u2753 <strong>How to Check if Ratios Form a Proportion?<\/strong><br>\ud83d\udc49 Use <strong>cross multiplication<\/strong> \u2716\ufe0f<\/p>\n\n\n\n<p>\ud83e\uddee If <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>a\/b = c\/d<\/strong><\/p>\n\n\n\n<p>Then check: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>a\u00d7d = b\u00d7c<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\u2705 <strong>If both products are equal \u2192 They form a proportion<\/strong> \ud83c\udf89<br>\u274c <strong>If not equal \u2192 They do NOT form a proportion<\/strong> \ud83d\udeab<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcd8 <strong>Example 1 (Forms a Proportion)<\/strong> <\/p>\n\n\n\n<p>2\/3 = 4\/6<\/p>\n\n\n\n<p>\ud83d\udc49 Cross multiply:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2\u00d76=12<\/li>\n\n\n\n<li>3\u00d74=12<br>\u2705 <strong>Yes! It is a proportion<\/strong> \ud83d\ude0a<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcd5 <strong>Example 2 (Does NOT Form a Proportion)<\/strong> <\/p>\n\n\n\n<p>3\/4 = 5\/6<\/p>\n\n\n\n<p>\ud83d\udc49 Cross multiply:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3\u00d76=18<\/li>\n\n\n\n<li>4\u00d75=20<br>\u274c <strong>No! Not a proportion<\/strong> \ud83d\ude15<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\ud83e\udde0 <strong>Quick Tip to Remember<\/strong><br>\u2728 <strong>Equal cross products = Proportion<\/strong> \u2728<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\ud83c\udfaf <strong>Real-Life Examples<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Speed \ud83d\ude97 (distance : time)<\/li>\n\n\n\n<li>Recipes \ud83c\udf70 (ingredients ratios)<\/li>\n\n\n\n<li>Maps \ud83d\uddfa\ufe0f (scale drawings)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\ud83c\udf08 <strong>Fun Check!<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always <strong>simplify ratios<\/strong> first if possible \u2702\ufe0f<\/li>\n\n\n\n<li>Or use <strong>cross multiplication<\/strong> for quick checking \u26a1<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udcda <strong>You\u2019re Ready!<\/strong><\/p>\n\n\n\n<p>Practice more and proportions will be easy-peasy! \ud83d\ude04\ud83d\udcca<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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\" style=\"background-color:#f1d4f4\"><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\">\ud83d\udc49 <strong>Do&nbsp;the ratios&nbsp;3\/2&nbsp;and&nbsp;15\/10 &nbsp;form a&nbsp;proportion?<\/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>To&nbsp;determine whether the two ratios&nbsp;3\/2&nbsp;and&nbsp;15\/10&nbsp;form a proportion, you can compare them 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;3\/2&nbsp;with a denominator of&nbsp;10.<\/p>\n\n\n\n<p>3\/2 = 3 . 5 \/ 2 .5 = 15 \/ 10<\/p>\n\n\n\n<p>So,&nbsp;3\/2 and&nbsp;15\/10 are equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;<strong>form a proportion<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d3fbd8\"><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\">\ud83d\udc49 <strong>Do&nbsp;the ratios&nbsp;1\/2 and 7\/14 form a proportion?<\/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>To&nbsp;determine whether the two ratios&nbsp;1\/2 and 7\/14&nbsp;form a proportion, you can compare them using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;2&nbsp;and&nbsp;14.&nbsp;You can use&nbsp;14&nbsp;as the common denominator since&nbsp;14&nbsp;is a multiple of&nbsp;2.<\/p>\n\n\n\n<p>Write&nbsp;1\/2&nbsp;with a denominator of&nbsp;14.<\/p>\n\n\n\n<p>1\/2 = 1 . 7 \/ 2 . 7 = 7\/14<\/p>\n\n\n\n<p>So,&nbsp;&nbsp;1\/2 and 7\/14&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;1\/2 and 7\/14&nbsp;<strong>form a proportion.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d4ccfe\"><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\">\ud83d\udc49 <strong>Do&nbsp;the ratios&nbsp;2\/1 and 16\/8&nbsp;form a&nbsp;proportion?<\/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>To&nbsp;determine whether the two ratios&nbsp;2\/1 and 16\/8&nbsp;form a proportion, you can compare them using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;1&nbsp;and&nbsp;8.&nbsp;You can use&nbsp;8&nbsp;as the common denominator since&nbsp;8&nbsp;is a multiple of&nbsp;1.<\/p>\n\n\n\n<p>Write&nbsp;2\/1&nbsp;with a denominator of&nbsp;8.<\/p>\n\n\n\n<p>2\/1 = 2 . 8 \/ 1 . 8 = 16\/8<\/p>\n\n\n\n<p>So,&nbsp;2\/1 and 16\/8&nbsp;&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;2\/1 and 16\/8&nbsp;form a proportion.<\/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\/85929\/741\/161\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-314.png\" alt=\"\" class=\"wp-image-7568\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-314.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-314-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-314-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-314-400x400.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\/31241\/168\/793\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-324.png\" alt=\"\" class=\"wp-image-7569\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-324.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-324-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-324-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-324-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Do the ratios form a proportion? Key notes: \ud83d\udd22 What is a Ratio? \u2696\ufe0f What is a Proportion? \u2753 How to Check if Ratios Form a Proportion?\ud83d\udc49 Use cross multiplication \u2716\ufe0f \ud83e\uddee If a\/b = c\/d Then check: a\u00d7d = b\u00d7c \u2705 If both products are equal \u2192 They form a proportion \ud83c\udf89\u274c If not<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/j-8-do-the-ratios-form-a-proportion\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.8 Do the ratios form a proportion?&#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-206","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206","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=206"}],"version-history":[{"count":12,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206\/revisions"}],"predecessor-version":[{"id":17657,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206\/revisions\/17657"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=206"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}