{"id":148,"date":"2022-04-12T12:14:32","date_gmt":"2022-04-12T12:14:32","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=148"},"modified":"2024-11-26T11:29:45","modified_gmt":"2024-11-26T11:29:45","slug":"h-3-write-an-equivalent-ratio","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/h-3-write-an-equivalent-ratio\/","title":{"rendered":"H.3 Write an equivalent ratio"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Write an equivalent ratio<\/strong><\/h2>\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-9af3a2cda8b0b442fa229f8ae8ae1b56\" style=\"color:#000060\">1. <strong>What is an Equivalent Ratio?<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition<\/strong>: Equivalent ratios are two ratios that express the same relationship between two quantities.<\/li>\n\n\n\n<li><strong>Example<\/strong>: The ratios 2:3 and 4:6 are equivalent because both represent the same proportion.<\/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-1ca8d395f22421d1d1771bfd4e4ebbfb\" style=\"color:#000060\">2. <strong>How to Find Equivalent Ratios<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To create equivalent ratios, <strong>multiply<\/strong> or <strong>divide<\/strong> both terms of a ratio by the same non-zero number.<\/li>\n\n\n\n<li><strong>Example 1<\/strong>:<br>Given ratio: 2:3<br>Multiply both terms by 2:<br>2 \u00d7 2 = 4, 3 \u00d7 2 = 6<br>So, 2:3 is equivalent to 4:6.<\/li>\n\n\n\n<li><strong>Example 2<\/strong>:<br>Given ratio: 6:9<br>Divide both terms by 3:<br>6 \u00f7 3 = 2, 9 \u00f7 3 = 3<br>So, 6:9 is equivalent to 2:3.<\/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-50b2b301e5dd671ddb7841a5c145b0d9\" style=\"color:#000060\">3. <strong>Using Cross-Multiplication to Check for Equivalence<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To check if two ratios are equivalent, <strong>cross-multiply<\/strong> and compare the results.<\/li>\n\n\n\n<li><strong>Example<\/strong>:<br>Are 2:3 and 4:6 equivalent?<br>Cross-multiply:<br>2 \u00d7 6 = 12<br>3 \u00d7 4 = 12<br>Since both products are equal, the ratios 2:3 and 4:6 are equivalent.<\/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-1573b75e7b774de15b0b08ee8d392b0a\" style=\"color:#000060\">4. <strong>Simplifying Ratios<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To simplify a ratio, divide both terms by their greatest common divisor (GCD).<\/li>\n\n\n\n<li><strong>Example<\/strong>:<br>Given ratio: 8:12<br>GCD of 8 and 12 is 4.<br>Divide both terms by 4:<br>8 \u00f7 4 = 2, 12 \u00f7 4 = 3<br>So, 8:12 simplifies to 2:3, which is an equivalent ratio.<\/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:#e9ae81\"><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-be22cfff0fe2df0acc696a3003374067\" style=\"color:#b00012\"><strong>\u2708\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:3.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a7112722d82414da8be4c3e0e092660c\" style=\"color:#b00012\">5: ____<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete&nbsp;the ratio&nbsp;5:____&nbsp;so that it is equivalent to&nbsp;1:3.<\/p>\n\n\n\n<p>The&nbsp;second number is missing from&nbsp;5:___.&nbsp;So, compare the first numbers of the two&nbsp;ratios.<\/p>\n\n\n\n<p><strong>1<\/strong>:3<\/p>\n\n\n\n<p><strong>5<\/strong>:__<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>5<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>5<\/strong>.<\/p>\n\n\n\n<p>So,&nbsp;to get&nbsp;____&nbsp;from the second number in&nbsp;1:3,&nbsp;multiply by&nbsp;<strong>5<\/strong>.<\/p>\n\n\n\n<p>3 . <strong>5<\/strong>=15<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;5:15&nbsp;and&nbsp;1:3&nbsp;are equivalent&nbsp;ratios.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#87f6bc\"><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-text-color has-background has-link-color wp-elements-3bb269fb37d14245bf0461f6ce7f193a\" style=\"color:#b00012\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong>\u2708\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:2.<\/strong><\/p>\n\n\n\n<p>9: ____<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete&nbsp;the ratio&nbsp;9:_____&nbsp;so that it is equivalent to&nbsp;1:2.<\/p>\n\n\n\n<p>The&nbsp;second number is missing from&nbsp;9:_____.&nbsp;So, compare the first numbers of the two&nbsp;ratios.<\/p>\n\n\n\n<p><strong>1<\/strong>:2<\/p>\n\n\n\n<p><strong>9<\/strong>:___<\/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,&nbsp;to get&nbsp;_____&nbsp;from the second number in&nbsp;1:2,&nbsp;multiply by&nbsp;<strong>9<\/strong>.<\/p>\n\n\n\n<p>2 . <strong>9<\/strong>=18<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;9:18&nbsp;and&nbsp;1:2&nbsp;are equivalent&nbsp;ratios.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#51b4e6\"><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-text-color has-background has-link-color wp-elements-1a99e0616c86465f826499702a0666df\" style=\"color:#b00012\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong>\u2708\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:8.<\/strong><\/p>\n\n\n\n<p>8:____<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete&nbsp;the ratio&nbsp;8______:&nbsp;so that it is equivalent to&nbsp;1:8.<\/p>\n\n\n\n<p>The&nbsp;second number is missing from&nbsp;8:____.&nbsp;So, compare the first numbers of the two&nbsp;ratios.<\/p>\n\n\n\n<p><strong>1<\/strong>:8<\/p>\n\n\n\n<p><strong>8<\/strong>:_____<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>8<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>8<\/strong>.<\/p>\n\n\n\n<p>So,&nbsp;to get&nbsp;_____&nbsp;from the second number in&nbsp;1:8,&nbsp;multiply by&nbsp;<strong>8<\/strong>.<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;8:64&nbsp;and&nbsp;1:8&nbsp;are equivalent&nbsp;ratios.<img decoding=\"async\" src=\"\" alt=\"\"><\/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\/81267\/150\/518\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-317.png\" alt=\"\" class=\"wp-image-9662\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-317.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-317-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-317-150x150.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\/417\/670\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-325.png\" alt=\"\" class=\"wp-image-9663\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-325.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-325-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-325-150x150.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. What is an Equivalent Ratio? 2. How to Find Equivalent Ratios 3. Using Cross-Multiplication to Check for Equivalence 4. Simplifying Ratios Learn with an example \u2708\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:3. 5: ____ Complete&nbsp;the ratio&nbsp;5:____&nbsp;so that it is equivalent to&nbsp;1:3. The&nbsp;second number is missing<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/h-3-write-an-equivalent-ratio\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.3 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-148","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\/148","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=148"}],"version-history":[{"count":19,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/148\/revisions"}],"predecessor-version":[{"id":19281,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/148\/revisions\/19281"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}