{"id":146,"date":"2022-04-12T12:14:15","date_gmt":"2022-04-12T12:14:15","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=146"},"modified":"2024-11-26T11:22:16","modified_gmt":"2024-11-26T11:22:16","slug":"h-2-identify-equivalent-ratios","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/h-2-identify-equivalent-ratios\/","title":{"rendered":"H.2 Identify equivalent ratios"},"content":{"rendered":"\n<h1 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Identify equivalent ratios<\/strong><\/h1>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-01e1dd4221ce714c459901bc0c7c598c\" style=\"color:#000060\"><strong>What are Ratios?<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A ratio is a relationship between two numbers, showing how many times the first number contains the second. It is written in the form of <strong>a:b<\/strong> or <strong>a\/b<\/strong>, where <strong>a<\/strong> and <strong>b<\/strong> are numbers.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-42aaf7747e918ee5464b4d8bb33c7707\" style=\"color:#000060\"><strong>Equivalent Ratios<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Equivalent ratios are ratios that express the same relationship between numbers, even though the numbers themselves may be different.<\/li>\n\n\n\n<li>For example, the ratios <strong>2:4<\/strong> and <strong>3:6<\/strong> are equivalent because both express the same relationship (both simplify to 1:2).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-803952c9b0e5585565ace3648d7c92c2\" style=\"color:#000060\"><strong>How to Identify Equivalent Ratios?<\/strong><\/h3>\n\n\n\n<ol class=\"has-large-font-size wp-block-list\">\n<li><strong>Simplifying the Ratio:<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">To check if two ratios are equivalent, try simplifying both ratios to their lowest terms.<\/li>\n\n\n\n<li><strong>Example:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>4:8<\/strong> \u2192 Simplified form is <strong>1:2<\/strong>.<\/li>\n\n\n\n<li><strong>2:4<\/strong> \u2192 Simplified form is also <strong>1:2<\/strong>.<\/li>\n\n\n\n<li>Since both ratios simplify to <strong>1:2<\/strong>, they are equivalent.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Cross-Multiplication Method:<\/strong>\n<ul class=\"wp-block-list\">\n<li>You can also use cross-multiplication to identify equivalent ratios.<\/li>\n\n\n\n<li>For two ratios <strong>a:b<\/strong> and <strong>c:d<\/strong>, if <strong>a \u00d7 d = b \u00d7 c<\/strong>, the ratios are equivalent.<\/li>\n\n\n\n<li><strong>Example<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Compare <strong>2:3<\/strong> and <strong>4:6<\/strong>.<\/li>\n\n\n\n<li>Cross-multiply: <strong>2 \u00d7 6 = 12<\/strong> and <strong>3 \u00d7 4 = 12<\/strong>.<\/li>\n\n\n\n<li>Since both products are equal, the ratios are equivalent.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiplying or Dividing Both Terms of a Ratio:<\/strong>\n<ul class=\"wp-block-list\">\n<li>You can find equivalent ratios by multiplying or dividing both terms of a ratio by the same number.<\/li>\n\n\n\n<li><strong>Example:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Start with <strong>3:5<\/strong>.<\/li>\n\n\n\n<li>Multiply both terms by <strong>2<\/strong>: <strong>3 \u00d7 2 = 6<\/strong> and <strong>5 \u00d7 2 = 10<\/strong>, giving the equivalent ratio <strong>6:10<\/strong>.<\/li>\n\n\n\n<li>Multiply both terms by <strong>3<\/strong>: <strong>3 \u00d7 3 = 9<\/strong> and <strong>5 \u00d7 3 = 15<\/strong>, giving the equivalent ratio <strong>9:15<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\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-9348c889958f852809575931cc8569f6\" style=\"background-color:#c0c0f9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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-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 has-link-color wp-elements-5256fe25b951f8a65d2ddcda64523b4c\" style=\"color:#b00012\"><strong>\ud83d\udc49 Are&nbsp;the ratios&nbsp;4:2&nbsp;and&nbsp;12:6&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<\/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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__50_-removebg-preview.png\" alt=\"\" class=\"wp-image-3386\" style=\"width:197px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__50_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__50_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__50_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\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;6.&nbsp;You can use&nbsp;6&nbsp;as the common denominator since&nbsp;6&nbsp;is a multiple of&nbsp;2.<\/p>\n\n\n\n<p>Write&nbsp;4\/2&nbsp;with a denominator of&nbsp;6.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__51_-removebg-preview.png\" alt=\"\" class=\"wp-image-3387\" style=\"width:182px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__51_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__51_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__51_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;4\/2&nbsp;and&nbsp;12\/6&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;4:2&nbsp;and&nbsp;12:6&nbsp;<strong>are&nbsp;equivalent<\/strong>.<\/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-a1a4e35e46778c69d11bbb5d1c1d15df\" style=\"background-color:#e5bafd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-8f566ae1fa8b240af916d0af515eb2e9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-10fb42f0299f3c5fe8dc9722ec971671\" style=\"color:#b00012\"><strong>\ud83d\udc49 Are&nbsp;the ratios&nbsp;15:5&nbsp;and&nbsp;3:1&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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__52_-removebg-preview.png\" alt=\"\" class=\"wp-image-3388\" style=\"width:196px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__52_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__52_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__52_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator&#8230;<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;5&nbsp;and&nbsp;1.&nbsp;You can use&nbsp;5&nbsp;as the common denominator since&nbsp;5&nbsp;is a multiple of&nbsp;1.<\/p>\n\n\n\n<p>Write&nbsp;3\/1&nbsp;with a denominator of&nbsp;5.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__54_-removebg-preview.png\" alt=\"\" class=\"wp-image-3389\" style=\"width:248px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__54_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__54_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__54_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;15\/5&nbsp;and&nbsp;3\/1&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;15:5&nbsp;and&nbsp;3:1&nbsp;<b>are equivalent<\/b>.<\/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-c7d25f1639bf7a013f107c969b9f1e1b\" style=\"background-color:#f5e3b5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-e3e565b424cd3e316d72a44375376be6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-5a7f01de19091a47232ddfd117520948\" style=\"color:#b00012\"><strong>\u2708\ufe0f Are&nbsp;the ratios&nbsp;1:2&nbsp;and&nbsp;7:14&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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__55_-removebg-preview.png\" alt=\"\" class=\"wp-image-3392\" style=\"width:238px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__55_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__55_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__55_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\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;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;12&nbsp;with a denominator of&nbsp;14.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__56_-removebg-preview.png\" alt=\"\" class=\"wp-image-3393\" style=\"width:174px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__56_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__56_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__56_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;1\/2&nbsp;and&nbsp;7\/14&nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This&nbsp;means that the ratios&nbsp;1:2&nbsp;and&nbsp;7:14&nbsp;<b>are equivalent<\/b>.<\/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! \ud83d\udd8a\ufe0f<\/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\/81266\/903\/312\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-318.png\" alt=\"\" class=\"wp-image-9666\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-318.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-318-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-318-150x150.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\/81428\/303\/125\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-326.png\" alt=\"\" class=\"wp-image-9667\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-326.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-326-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-326-150x150.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 : What are Ratios? Equivalent Ratios How to Identify Equivalent Ratios? Learn with an example \ud83d\udc49 Are&nbsp;the ratios&nbsp;4:2&nbsp;and&nbsp;12:6&nbsp;equivalent? First,&nbsp;write the ratios as&nbsp;fractions. The&nbsp;first number is the numerator. The second number is the&nbsp;denominator. You&nbsp;can compare the fractions using a common&nbsp;denominator. The&nbsp;denominators are&nbsp;2&nbsp;and&nbsp;6.&nbsp;You can use&nbsp;6&nbsp;as the common denominator since&nbsp;6&nbsp;is a multiple of&nbsp;2.<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/h-2-identify-equivalent-ratios\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-146","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=146"}],"version-history":[{"count":21,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146\/revisions"}],"predecessor-version":[{"id":19032,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146\/revisions\/19032"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}