{"id":272801,"date":"2025-07-27T06:41:43","date_gmt":"2025-07-27T06:41:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272801"},"modified":"2025-07-27T06:41:45","modified_gmt":"2025-07-27T06:41:45","slug":"find-an-equivalent-ratio-in-simplest-terms-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/find-an-equivalent-ratio-in-simplest-terms-3\/","title":{"rendered":"Find an equivalent ratio in simplest terms"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-866.png\" alt=\"\" class=\"wp-image-272802\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The equivalent ratio for 36:99 in its simplest terms is&nbsp;<strong>4:11<\/strong>.<\/p>\n\n\n\n<p>To find the simplest form of a ratio, we must identify the greatest common divisor (GCD) for both numbers. The GCD is the largest number that can divide both 36 and 99 without leaving a remainder. This process ensures that the proportional relationship between the two numbers is preserved while expressing it with the smallest possible whole numbers.<\/p>\n\n\n\n<p>First, let&#8217;s list the factors for each number.<br>The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.<br>The factors of 99 are 1, 3, 9, 11, 33, and 99.<\/p>\n\n\n\n<p>By comparing these two lists, we can see that the common factors are 1, 3, and 9. The largest of these is 9, making it the greatest common divisor.<\/p>\n\n\n\n<p>Next, we divide both parts of the original ratio by this GCD.<\/p>\n\n\n\n<p>For the first number:<br>36 \u00f7 9 = 4<\/p>\n\n\n\n<p>For the second number:<br>99 \u00f7 9 = 11<\/p>\n\n\n\n<p>Therefore, the simplified ratio is 4:11. This ratio is considered to be in its simplest form because the numbers 4 and 11 are coprime, meaning their only common factor is 1. No further simplification is possible. The ratio 4:11 is equivalent to 36:99, as it represents the exact same relationship. For every 4 units of the first quantity, there are 11 units of the second, maintaining the original proportion in its most reduced form.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2206.jpeg\" alt=\"\" class=\"wp-image-272803\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The equivalent ratio for 36:99 in its simplest terms is&nbsp;4:11. To find the simplest form of a ratio, we must identify the greatest common divisor (GCD) for both numbers. The GCD is the largest number that can divide both 36 and 99 without leaving a remainder. This process ensures [&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-272801","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272801","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=272801"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272801\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}