{"id":207,"date":"2022-04-08T05:16:57","date_gmt":"2022-04-08T05:16:57","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=207"},"modified":"2025-02-10T09:31:49","modified_gmt":"2025-02-10T09:31:49","slug":"m-4-write-an-equivalent-ratio","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/m-4-write-an-equivalent-ratio\/","title":{"rendered":"M.4 Write an equivalent ratio"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" 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<p class=\"has-text-color has-link-color has-large-font-size wp-elements-3300b6c843fb07436c065cc5b6476c1b\" style=\"color:#000060\"><strong>Definition of Ratio<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">A ratio is a comparison of two quantities.<\/p>\n\n\n\n<p class=\"has-large-font-size\">It can be written in three forms:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Fraction form<\/strong> (3\/4)<\/li>\n\n\n\n<li><strong>Colon form<\/strong> (3:4)<\/li>\n\n\n\n<li><strong>Word form<\/strong> (3 to 4)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c3dd44cc9f8502fde9653828c08f49e3\" style=\"color:#000060\"><strong>What are Equivalent Ratios?<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Equivalent ratios have the same relationship between numbers but may use different values.<\/li>\n\n\n\n<li>Example: 2:3, 4:6, and 6:9 are equivalent ratios.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-e095134fd853c88d80dc622882f4b510\" style=\"color:#000060\"><strong>Finding Equivalent Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Multiply or divide both terms of the ratio by the same non-zero number.<\/li>\n\n\n\n<li><strong>Example<\/strong>: To find an equivalent ratio of <strong>3:5<\/strong>, multiply both by <strong>2<\/strong> \u2192 <strong>(3\u00d72):(5\u00d72) = 6:10<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-bfdd7e23330369a6d2d4c6a7c994e072\" style=\"color:#000060\"><strong>Using Cross Multiplication to Check Equivalence<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Two ratios are equivalent if their cross products are equal.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>: Check if 3:4 and 6:8 are equivalent.<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Cross multiply: <strong>3 \u00d7 8 = 24<\/strong>, <strong>4 \u00d7 6 = 24<\/strong> \u2192 Since they are equal, the ratios 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<p class=\"has-text-color has-link-color has-large-font-size wp-elements-8958002fef0315bcb2bee9d2a4e2707b\" style=\"color:#000060\"><strong>Simplifying Ratios<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Find the Greatest Common Factor (GCF) of both terms and divide.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>: 10:15<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>GCF of 10 and 15 is 5.<\/li>\n\n\n\n<li>Divide both by 5 \u2192 <strong>(10\u00f75):(15\u00f75) = 2:3<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-f79bbdb054d5f6d25cec230ef3e0eb32\" style=\"color:#000060\"><strong>Real-Life Examples of Equivalent Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Recipes<\/strong>: A cake recipe uses a 2:3 ratio of sugar to flour. Doubling the recipe makes it <strong>4:6<\/strong>.<\/li>\n\n\n\n<li><strong>Maps<\/strong>: A 1:50 scale means 1 cm on the map is 50 cm in real life.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-64c92cde1f3082da0efc5cafd5a57abe\" style=\"color:#000060\"><strong>Practice Writing Equivalent Ratios<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Complete the missing numbers:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>5:7 = __:14<\/li>\n\n\n\n<li>8:12 = 4:__<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-a9383cbf3baeac9f60bf5e4abed32fe7\" style=\"background-color:#e8f1ca\"><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-460fabdfad6f110510b9734f93d22bf1\"><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-f831b8e571c64f0cd458d654af7404ae\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:4.<\/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;1:4.The&nbsp;second number is missing from&nbsp;8: ____.&nbsp;<\/p>\n\n\n\n<p>So, compare the first numbers of the two&nbsp;ratios.<\/p>\n\n\n\n<p><strong>1<\/strong>:4<\/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;1:4,&nbsp;multiply by&nbsp;<strong>8<\/strong>.<\/p>\n\n\n\n<p>4 . <strong>8<\/strong> = 32<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;8:32&nbsp;and&nbsp;1:4&nbsp;are equivalent&nbsp;ratios.<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-6fc0314efbcc4d16e51c503a2278ed90\" style=\"background-color:#f5d0e3\"><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-9981e6e3774ee6d7d9cf285acff05030\"><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-a8ce242a4e0ca5a2411aa7a38c7e4280\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:3.<\/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;1:3.The&nbsp;second number is missing from&nbsp;9:____.&nbsp;<\/p>\n\n\n\n<p>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>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;1:3,&nbsp;multiply by&nbsp;<strong>9<\/strong>.<\/p>\n\n\n\n<p>3 . <strong>9<\/strong> = 27<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;9:27&nbsp;and&nbsp;1:3&nbsp;are equivalent&nbsp;ratios.<\/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-bf3646423de020c8930ee89bd88f4022\" style=\"background-color:#b1daec\"><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-5508745888e8a217acf1efe7f95dc0a4\"><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-dc34c8cb9e74f91f7b35919fae0a725c\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Find&nbsp;the number that makes the ratio equivalent to&nbsp;1:2.<\/strong><\/p>\n\n\n\n<p>6:________<\/p>\n<\/div><\/div>\n\n\n\n<p>Complete&nbsp;the ratio&nbsp;6:&nbsp;___ so that it is equivalent to&nbsp;1:2.<\/p>\n\n\n\n<p>The&nbsp;second number is missing from&nbsp;6: ___.&nbsp;<\/p>\n\n\n\n<p>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>6<\/strong>: ____<\/p>\n\n\n\n<p>To&nbsp;get&nbsp;<strong>6<\/strong>&nbsp;from&nbsp;<strong>1<\/strong>,&nbsp;multiply by&nbsp;<strong>6<\/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>6<\/strong>.<\/p>\n\n\n\n<p>2 . <strong>6 <\/strong>= 12<\/p>\n\n\n\n<p>This&nbsp;means&nbsp;6:12&nbsp;and&nbsp;1:2&nbsp;are equivalent&nbsp;ratios.<\/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<\/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\/83720\/704\/110\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-27.png\" alt=\"\" class=\"wp-image-5481\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-27.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-27-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-27-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-27-400x400.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\/86071\/947\/792\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-28.png\" alt=\"\" class=\"wp-image-5483\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-28.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-28-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-28-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-28-400x400.png 400w\" 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 : Definition of Ratio A ratio is a comparison of two quantities. It can be written in three forms: What are Equivalent Ratios? Finding Equivalent Ratios Using Cross Multiplication to Check Equivalence Two ratios are equivalent if their cross products are equal. Example: Check if 3:4 and 6:8 are<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/m-4-write-an-equivalent-ratio\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.4 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-207","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/207","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=207"}],"version-history":[{"count":13,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/207\/revisions"}],"predecessor-version":[{"id":15486,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/207\/revisions\/15486"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}