{"id":168088,"date":"2024-11-16T17:39:15","date_gmt":"2024-11-16T17:39:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168088"},"modified":"2024-11-16T17:39:17","modified_gmt":"2024-11-16T17:39:17","slug":"choose-the-proportion-that-is-true","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/choose-the-proportion-that-is-true\/","title":{"rendered":"Choose the proportion that is true."},"content":{"rendered":"\n<p>Choose the proportion that is true.<br>3\/8=15\/40<br>12\/13=2\/3<br>9\/13=27\/36<br>16\/49=4\/7<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct proportion is:<\/p>\n\n\n\n<p><strong>3\/8 = 15\/40<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A proportion is an equation that states two ratios are equal. To check if a proportion is true, we can cross-multiply the two ratios and see if the products are equal.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. <strong>3\/8 = 15\/40<\/strong><\/h4>\n\n\n\n<p>To check if these two ratios are equal, we can use cross-multiplication:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply 3 by 40: ( 3 \\times 40 = 120 )<\/li>\n\n\n\n<li>Multiply 8 by 15: ( 8 \\times 15 = 120 )<\/li>\n<\/ul>\n\n\n\n<p>Since both products are equal (120 = 120), the proportion <strong>3\/8 = 15\/40<\/strong> is correct. Therefore, this is the true proportion.<\/p>\n\n\n\n<p>To further simplify the second fraction ( 15\/40 ), notice that both 15 and 40 can be divided by their greatest common divisor (GCD), which is 5:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 15 \\div 5 = 3 )<\/li>\n\n\n\n<li>( 40 \\div 5 = 8 )<\/li>\n<\/ul>\n\n\n\n<p>So, ( 15\/40 ) simplifies to ( 3\/8 ), which confirms that the original proportion is valid.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. <strong>12\/13 = 2\/3<\/strong><\/h4>\n\n\n\n<p>Let\u2019s cross-multiply this proportion:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply 12 by 3: ( 12 \\times 3 = 36 )<\/li>\n\n\n\n<li>Multiply 13 by 2: ( 13 \\times 2 = 26 )<\/li>\n<\/ul>\n\n\n\n<p>Since 36 is not equal to 26, this proportion is not true. Therefore, <strong>12\/13 = 2\/3<\/strong> is incorrect.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3. <strong>9\/13 = 27\/36<\/strong><\/h4>\n\n\n\n<p>Let\u2019s cross-multiply this proportion:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply 9 by 36: ( 9 \\times 36 = 324 )<\/li>\n\n\n\n<li>Multiply 13 by 27: ( 13 \\times 27 = 351 )<\/li>\n<\/ul>\n\n\n\n<p>Since 324 is not equal to 351, the proportion <strong>9\/13 = 27\/36<\/strong> is incorrect.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">4. <strong>16\/49 = 4\/7<\/strong><\/h4>\n\n\n\n<p>Let\u2019s cross-multiply this proportion:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply 16 by 7: ( 16 \\times 7 = 112 )<\/li>\n\n\n\n<li>Multiply 49 by 4: ( 49 \\times 4 = 196 )<\/li>\n<\/ul>\n\n\n\n<p>Since 112 is not equal to 196, the proportion <strong>16\/49 = 4\/7<\/strong> is incorrect.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The proportion that is true is <strong>3\/8 = 15\/40<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Choose the proportion that is true.3\/8=15\/4012\/13=2\/39\/13=27\/3616\/49=4\/7 The Correct Answer and Explanation is: The correct proportion is: 3\/8 = 15\/40 Explanation: A proportion is an equation that states two ratios are equal. To check if a proportion is true, we can cross-multiply the two ratios and see if the products are equal. 1. 3\/8 = 15\/40 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168088","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168088"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168088\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}