{"id":275758,"date":"2025-07-30T06:51:11","date_gmt":"2025-07-30T06:51:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=275758"},"modified":"2025-07-30T06:51:13","modified_gmt":"2025-07-30T06:51:13","slug":"select-all-ratios-equivalent-to-164","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/30\/select-all-ratios-equivalent-to-164\/","title":{"rendered":"Select all ratios equivalent to 16:4"},"content":{"rendered":"\n<p>Select all ratios equivalent to 16:4. 56:14 112:28 28:7<\/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 ratios equivalent to 16:4 are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>56:14<\/li>\n\n\n\n<li>112:28<\/li>\n\n\n\n<li>28:7<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To determine whether two ratios are equivalent, you need to check if the fraction formed by simplifying each ratio is the same.<\/p>\n\n\n\n<p><strong>Step 1: Simplify 16:4.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide both terms of the ratio by their greatest common divisor (GCD), which is 4.<\/li>\n\n\n\n<li>16 \u00f7 4 = 4 and 4 \u00f7 4 = 1, so 16:4 simplifies to 4:1.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Simplify 56:14.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The GCD of 56 and 14 is 14.<\/li>\n\n\n\n<li>56 \u00f7 14 = 4 and 14 \u00f7 14 = 1, so 56:14 simplifies to 4:1.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3: Simplify 112:28.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The GCD of 112 and 28 is 28.<\/li>\n\n\n\n<li>112 \u00f7 28 = 4 and 28 \u00f7 28 = 1, so 112:28 simplifies to 4:1.<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 4: Simplify 28:7.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The GCD of 28 and 7 is 7.<\/li>\n\n\n\n<li>28 \u00f7 7 = 4 and 7 \u00f7 7 = 1, so 28:7 simplifies to 4:1.<\/li>\n<\/ul>\n\n\n\n<p>Since all the ratios simplify to 4:1, they are equivalent to the original ratio of 16:4.<\/p>\n\n\n\n<p>In general, to check for equivalent ratios, divide both terms of each ratio by their GCD and compare the simplified results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Select all ratios equivalent to 16:4. 56:14 112:28 28:7 The correct answer and explanation is: The correct ratios equivalent to 16:4 are: Explanation: To determine whether two ratios are equivalent, you need to check if the fraction formed by simplifying each ratio is the same. Step 1: Simplify 16:4. Step 2: Simplify 56:14. Step 3: [&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-275758","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275758","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=275758"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275758\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=275758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=275758"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=275758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}