{"id":156180,"date":"2024-10-17T05:07:52","date_gmt":"2024-10-17T05:07:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156180"},"modified":"2024-10-17T05:07:55","modified_gmt":"2024-10-17T05:07:55","slug":"what-is-the-fraction-of-24-16-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/what-is-the-fraction-of-24-16-simplest-form\/","title":{"rendered":"what is the fraction of 24\/16 simplest form"},"content":{"rendered":"\n<p>what is the fraction of 24\/16 simplest form<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To simplify the fraction ( \\frac{24}{16} ), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (16).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the GCD<\/h3>\n\n\n\n<p>The GCD of two numbers is the largest number that divides both of them without leaving a remainder.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 24<\/strong>:<\/li>\n\n\n\n<li>The factors are: (1, 2, 3, 4, 6, 8, 12, 24).<\/li>\n\n\n\n<li><strong>Factors of 16<\/strong>:<\/li>\n\n\n\n<li>The factors are: (1, 2, 4, 8, 16).<\/li>\n<\/ul>\n\n\n\n<p>The common factors of 24 and 16 are (1, 2, 4). The greatest of these is (4).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide by the GCD<\/h3>\n\n\n\n<p>Now we divide both the numerator and the denominator by the GCD, which is 4:<\/p>\n\n\n\n<p>[<br>\\frac{24 \\div 4}{16 \\div 4} = \\frac{6}{4}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify Further<\/h3>\n\n\n\n<p>Next, we can simplify ( \\frac{6}{4} ) further by finding the GCD of 6 and 4:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Factors of 6<\/strong>:<\/li>\n\n\n\n<li>The factors are: (1, 2, 3, 6).<\/li>\n\n\n\n<li><strong>Factors of 4<\/strong>:<\/li>\n\n\n\n<li>The factors are: (1, 2, 4).<\/li>\n<\/ul>\n\n\n\n<p>The common factors of 6 and 4 are (1, 2), and the greatest is (2).<\/p>\n\n\n\n<p>Now we simplify ( \\frac{6}{4} ) by dividing both the numerator and the denominator by 2:<\/p>\n\n\n\n<p>[<br>\\frac{6 \\div 2}{4 \\div 2} = \\frac{3}{2}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the fraction ( \\frac{24}{16} ) simplified to its lowest terms is:<\/p>\n\n\n\n<p>[<br>\\frac{3}{2}<br>]<\/p>\n\n\n\n<p>This means that for every 2 parts of the whole, there are 3 parts of the given quantity. Simplifying fractions is an essential skill in mathematics, as it helps to express ratios in their most efficient form, making calculations and comparisons easier.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>what is the fraction of 24\/16 simplest form The Correct Answer and Explanation is : To simplify the fraction ( \\frac{24}{16} ), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (16). Step 1: Find the GCD The GCD of two numbers is the largest number that divides [&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-156180","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156180","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=156180"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156180\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}