{"id":168077,"date":"2024-11-16T17:09:45","date_gmt":"2024-11-16T17:09:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168077"},"modified":"2024-11-16T17:09:48","modified_gmt":"2024-11-16T17:09:48","slug":"write-the-fraction-in-the-simplest-form-6-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/write-the-fraction-in-the-simplest-form-6-8\/","title":{"rendered":"Write the fraction in the simplest form 6\/8"},"content":{"rendered":"\n<p>Write the fraction in the simplest form 6\/8<\/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>To simplify the fraction ( \\frac{6}{8} ), we need to reduce it to its simplest form by finding the greatest common divisor (GCD) of 6 and 8. The simplest form of a fraction is achieved when the numerator and the denominator are divided by their GCD.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the GCD of 6 and 8.<\/h3>\n\n\n\n<p>To find the GCD, we first list the factors of each number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factors of 6 are: 1, 2, 3, and 6.<\/li>\n\n\n\n<li>The factors of 8 are: 1, 2, 4, and 8.<\/li>\n<\/ul>\n\n\n\n<p>The greatest common factor (or GCD) is the largest number that appears in both lists of factors. Here, the GCD of 6 and 8 is <strong>2<\/strong>.<\/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>To simplify the fraction, divide both the numerator (6) and the denominator (8) by their GCD (2):<br>[<br>\\frac{6}{8} = \\frac{6 \\div 2}{8 \\div 2} = \\frac{3}{4}.<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Confirm the result.<\/h3>\n\n\n\n<p>Now, the fraction ( \\frac{6}{8} ) has been simplified to ( \\frac{3}{4} ), which is in its simplest form because 3 and 4 have no common factors other than 1. The numerator 3 is a prime number, and the denominator 4 has factors of 1, 2, and 4. Since 3 and 4 share no common factors, ( \\frac{3}{4} ) is the simplest form of the fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The simplest form of ( \\frac{6}{8} ) is ( \\frac{3}{4} ).<\/p>\n\n\n\n<p>Simplifying fractions is an essential skill in mathematics. It ensures that fractions are presented in the most efficient form, making them easier to work with in calculations, comparisons, and problem-solving. Reducing fractions to their simplest form involves identifying the greatest common divisor and dividing both the numerator and the denominator by this number.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the fraction in the simplest form 6\/8 The Correct Answer and Explanation is: To simplify the fraction ( \\frac{6}{8} ), we need to reduce it to its simplest form by finding the greatest common divisor (GCD) of 6 and 8. The simplest form of a fraction is achieved when the numerator and the denominator [&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-168077","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168077","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=168077"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168077\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}