{"id":144938,"date":"2024-09-26T05:38:24","date_gmt":"2024-09-26T05:38:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144938"},"modified":"2024-09-26T05:38:26","modified_gmt":"2024-09-26T05:38:26","slug":"8-12-4-8-reduced-to-the-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/26\/8-12-4-8-reduced-to-the-lowest-terms\/","title":{"rendered":"8\/12 &#8211; 4\/8 reduced to the lowest terms"},"content":{"rendered":"\n<p>8\/12 &#8211; 4\/8 reduced to the lowest terms<\/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 reduce the fraction ( \\frac{8}{12} ) to its lowest terms, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the greatest common divisor (GCD)<\/h3>\n\n\n\n<p>The first step in reducing a fraction is finding the greatest common divisor (GCD) of the numerator (8) and the denominator (12). The GCD is the largest number that can divide both 8 and 12 without leaving a remainder.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 8: ( 1, 2, 4, 8 )<\/li>\n\n\n\n<li>Factors of 12: ( 1, 2, 3, 4, 6, 12 )<\/li>\n<\/ul>\n\n\n\n<p>The common factors between 8 and 12 are 1, 2, and 4. The greatest common factor is 4.<\/p>\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, divide both the numerator and the denominator by the GCD (4).<\/p>\n\n\n\n<p>[<br>\\frac{8 \\div 4}{12 \\div 4} = \\frac{2}{3}<br>]<\/p>\n\n\n\n<p>Thus, ( \\frac{8}{12} ) reduced to its lowest terms is ( \\frac{2}{3} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Explanation<\/h3>\n\n\n\n<p>Reducing a fraction means simplifying it to its smallest equivalent form, where both the numerator and denominator have no common factors other than 1. In this case, both 8 and 12 were divisible by 4, allowing us to simplify the fraction to ( \\frac{2}{3} ). The key is finding the greatest common divisor, which ensures that the fraction is reduced as much as possible.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Related Example: Reducing ( \\frac{4}{8} )<\/h3>\n\n\n\n<p>To reduce ( \\frac{4}{8} ), follow the same process:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GCD of 4 and 8 is 4.<\/li>\n\n\n\n<li>Divide both by 4: ( \\frac{4 \\div 4}{8 \\div 4} = \\frac{1}{2} ).<\/li>\n<\/ul>\n\n\n\n<p>So, ( \\frac{4}{8} ) simplifies to ( \\frac{1}{2} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The fraction ( \\frac{8}{12} ) reduced to its lowest terms is ( \\frac{2}{3} ), and ( \\frac{4}{8} ) reduces to ( \\frac{1}{2} ). Both processes involve finding the GCD and dividing the numerator and denominator by this value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>8\/12 &#8211; 4\/8 reduced to the lowest terms The Correct Answer and Explanation is : To reduce the fraction ( \\frac{8}{12} ) to its lowest terms, follow these steps: Step 1: Find the greatest common divisor (GCD) The first step in reducing a fraction is finding the greatest common divisor (GCD) of the numerator (8) [&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-144938","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144938","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=144938"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144938\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}