Write each fraction in simplest form
6\/24<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: ( \\frac{1}{4} )<\/strong><\/mark><\/p>\n\n\n\n To simplify the fraction ( \\frac{6}{24} ), we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (24) and then divide both by this number.<\/p>\n\n\n\n Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 6:<\/p>\n\n\n\n [ The fraction ( \\frac{6}{24} ) in simplest form is ( \\frac{1}{4} ).<\/p>\n\n\n\n Simplifying fractions involves reducing them to their lowest terms. A fraction is in simplest form when the numerator and denominator share no common factors other than 1. This process ensures that the fraction represents the same value but is expressed in a more concise way.<\/p>\n\n\n\n Understanding how to find the GCD is essential, as it allows you to simplify fractions correctly. There are various methods for finding the GCD, including listing factors, using prime factorization, or employing the Euclidean algorithm. Once you identify the GCD, dividing both the numerator and denominator by this value ensures that the fraction retains its original value while being presented in a simpler form.<\/p>\n\n\n\n Simplifying fractions not only makes them easier to work with in calculations but also aids in better comprehension and communication of numerical information. In practical applications, such as cooking or budgeting, working with simplified fractions can lead to clearer and more efficient decision-making.<\/p>\n","protected":false},"excerpt":{"rendered":" Write each fraction in simplest form6\/24 The Correct Answer and Explanation is : The correct answer is: ( \\frac{1}{4} ) To simplify the fraction ( \\frac{6}{24} ), we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (24) and then divide both by this number. Step 1: Find the […]<\/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-151792","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151792","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=151792"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151792\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151792"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151792"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151792"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Find the GCD<\/h3>\n\n\n\n
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The common factors of 6 and 24 are 1, 2, 3, and 6.<\/li>\n\n\n\n
The largest of these common factors is 6. Thus, the GCD of 6 and 24 is 6.<\/li>\n<\/ol>\n\n\n\nStep 2: Divide the numerator and denominator by the GCD<\/h3>\n\n\n\n
\\frac{6 \\div 6}{24 \\div 6} = \\frac{1}{4}
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n
Explanation of the Simplification Process<\/h3>\n\n\n\n