{"id":215,"date":"2022-04-08T05:18:36","date_gmt":"2022-04-08T05:18:36","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=215"},"modified":"2025-02-08T05:22:23","modified_gmt":"2025-02-08T05:22:23","slug":"m-8-do-the-ratios-form-a-proportion","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/m-8-do-the-ratios-form-a-proportion\/","title":{"rendered":"M.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-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-fe5a7c0ffaed8bac798d1de526fbbcdb\" style=\"color:#000060\"><strong>Definition of Proportion:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A proportion is an equation that shows two ratios are equal.<\/li>\n\n\n\n<li>Example: 23\/ = 4\/6<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-fda84a80b977ec31534f83f2d13a9cb7\" style=\"color:#000060\"><strong>Understanding Ratios:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A ratio is a comparison of two numbers, written as <strong>a:b<\/strong>, <strong>a\/b<\/strong>, or <strong>a to b<\/strong>.<\/li>\n\n\n\n<li>Example: The ratio of apples to oranges is <strong>3:5<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-75e7042b06dac7c00192247e9f250f66\" style=\"color:#000060\"><strong>Methods to Check if Ratios Form a Proportion:<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-10d84ff043b18585237435c087e393c2\" style=\"color:#000060\"><strong>Cross Multiplication Method:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">If a\/b = c\/d, then a\u00d7d = b\u00d7c.<\/p>\n\n\n\n<p class=\"has-large-font-size\">Example: Check if 4\/6 = 6\/9\u200b:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>4\u00d79 = 6\u00d76<\/li>\n\n\n\n<li>36 = 36(True, so it\u2019s a proportion).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-28ccb9d3b564611c837e58fe22632e04\" style=\"color:#000060\"><strong>Simplifying Method:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Simplify both ratios and see if they are equal.<\/p>\n\n\n\n<p class=\"has-large-font-size\">Example: 10\/15 = 20\/30<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>10\/15 = 2\/3\u200b<\/li>\n\n\n\n<li>20\/30 = 2\/3<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\">Since both are equal, they form a proportion.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-43abc77b8342d15f1ff90a4cc99e31b4\" style=\"color:#000060\"><strong>Examples of Proportions:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>3\/5 = 6\/10<\/li>\n\n\n\n<li>8\/12 = 2\/3<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-492e698c9a5bc2dfd84c8a601616b972\" style=\"color:#000060\"><strong>Examples of Non-Proportions:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>4\/7 \u2260 6\/10\u200b<\/li>\n\n\n\n<li>5\/9 \u2260 10\/15<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-490bfdd59778ef96bf77e4f61583c15b\" style=\"color:#000060\"><strong>Real-Life Applications:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Cooking: Using recipe ratios correctly.<\/li>\n\n\n\n<li>Maps: Understanding scale ratios.<\/li>\n\n\n\n<li>Speed: Comparing distance and time in driving.<\/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:#e1a6e6\"><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-485f4dbfd8fec28e800d4b07e1cbd814\" style=\"color:#b00012\"><strong>\ud83d\udc49 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 has-large-font-size\" 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 has-link-color wp-elements-2f605b98ef1f41944f79a691a8994716\" style=\"color:#b00012\"><strong>\ud83d\udc49 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 has-large-font-size\" style=\"background-color:#bbafed\"><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-543974b119a11105c006442db656c817\" style=\"color:#b00012\"><strong>\ud83d\udc49 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\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\/83763\/742\/846\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-33.png\" alt=\"\" class=\"wp-image-5502\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-33.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-33-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-33-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-33-400x400.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\/86075\/129\/130\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-34.png\" alt=\"\" class=\"wp-image-5503\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-34.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-34-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-34-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-34-400x400.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 : Definition of Proportion: Understanding Ratios: Methods to Check if Ratios Form a Proportion: Cross Multiplication Method: If a\/b = c\/d, then a\u00d7d = b\u00d7c. Example: Check if 4\/6 = 6\/9\u200b: Simplifying Method: Simplify both ratios and see if they are equal. Example: 10\/15 = 20\/30 Since<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/m-8-do-the-ratios-form-a-proportion\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-215","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215","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=215"}],"version-history":[{"count":13,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215\/revisions"}],"predecessor-version":[{"id":15458,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/215\/revisions\/15458"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}