{"id":151266,"date":"2024-10-09T18:46:54","date_gmt":"2024-10-09T18:46:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=151266"},"modified":"2024-10-09T18:47:04","modified_gmt":"2024-10-09T18:47:04","slug":"write-the-fraction-24-40-in-its-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/09\/write-the-fraction-24-40-in-its-simplest-form\/","title":{"rendered":"Write the fraction 24\/40 in its simplest form"},"content":{"rendered":"\n<p>Write the fraction 24\/40 in its 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}{40} ), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (40). The GCD is the largest number that can divide both numbers without leaving a remainder.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the GCD<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>List the Factors<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 24 are: ( 1, 2, 3, 4, 6, 8, 12, 24 )<\/li>\n\n\n\n<li>The factors of 40 are: ( 1, 2, 4, 5, 8, 10, 20, 40 )<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the Common Factors<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The common factors of 24 and 40 are: ( 1, 2, 4, 8 )<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Determine the GCD<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The greatest of these common factors is ( 8 ), which is the GCD.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Divide Both the Numerator and Denominator by the GCD<\/h3>\n\n\n\n<p>Now that we have the GCD, we can simplify the fraction:<\/p>\n\n\n\n<p>[<br>\\frac{24 \\div 8}{40 \\div 8} = \\frac{3}{5}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The simplest form of the fraction ( \\frac{24}{40} ) is ( \\frac{3}{5} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Simplifying fractions is essential for mathematical clarity and understanding. It helps in reducing numbers to their most basic form, making calculations easier. In this case, simplifying ( \\frac{24}{40} ) to ( \\frac{3}{5} ) shows that both the numerator and the denominator can be reduced by the same factor, reflecting the underlying proportional relationship.<\/p>\n\n\n\n<p>Additionally, this process is useful in various applications, such as in measurements or in problems involving ratios. For example, if you are cooking and need to adjust a recipe, using simplified fractions can make it easier to scale up or down.<\/p>\n\n\n\n<p>Ultimately, simplifying fractions not only helps in performing calculations but also in interpreting and communicating quantitative information more effectively. Understanding how to find the GCD and reduce fractions is a fundamental skill in mathematics that can be applied across different fields, including science, finance, and engineering.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the fraction 24\/40 in its simplest form. The Correct Answer and Explanation is : To simplify the fraction ( \\frac{24}{40} ), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (40). The GCD is the largest number that can divide both numbers without leaving a remainder. Step [&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-151266","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151266","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=151266"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151266\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151266"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151266"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}