{"id":158115,"date":"2024-10-24T11:52:55","date_gmt":"2024-10-24T11:52:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=158115"},"modified":"2024-10-24T11:52:57","modified_gmt":"2024-10-24T11:52:57","slug":"find-an-equivalent-fraction-of-the-following-1-8-with-denominator-24","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/24\/find-an-equivalent-fraction-of-the-following-1-8-with-denominator-24\/","title":{"rendered":"Find an equivalent fraction of the following 1-8 with denominator 24 \u200b"},"content":{"rendered":"\n<p>Find an equivalent fraction of the following 1-8 with denominator 24 \u200b<\/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 find an equivalent fraction for a given fraction with a denominator of 24, we start with the fraction ( \\frac{1}{8} ) and find a way to express it in terms of the new denominator.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Process<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understand Equivalent Fractions<\/strong>: Equivalent fractions are fractions that represent the same value or proportion of a whole, even though their numerators and denominators are different. For instance, ( \\frac{1}{2} ) and ( \\frac{2}{4} ) are equivalent because they both represent the same part of a whole.<\/li>\n\n\n\n<li><strong>Identify the New Denominator<\/strong>: In this case, we want the denominator to be 24. We need to find a way to convert ( \\frac{1}{8} ) into a fraction with 24 as the denominator.<\/li>\n\n\n\n<li><strong>Finding the Conversion Factor<\/strong>: To determine the conversion factor, we divide the new denominator by the original denominator:<br>[<br>\\text{Conversion Factor} = \\frac{24}{8} = 3<br>]<\/li>\n\n\n\n<li><strong>Multiply the Numerator and Denominator<\/strong>: To maintain the equality of the fraction, we multiply both the numerator and the denominator of ( \\frac{1}{8} ) by this conversion factor (3):<br>[<br>\\frac{1 \\times 3}{8 \\times 3} = \\frac{3}{24}<br>]<\/li>\n\n\n\n<li><strong>Verification<\/strong>: To verify that ( \\frac{3}{24} ) is indeed equivalent to ( \\frac{1}{8} ), we can simplify ( \\frac{3}{24} ):<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:<br>[<br>\\frac{3 \\div 3}{24 \\div 3} = \\frac{1}{8}<br>]<br>This confirms that both fractions are equivalent.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, an equivalent fraction of ( \\frac{1}{8} ) with a denominator of 24 is ( \\frac{3}{24} ). This process of finding equivalent fractions is essential in mathematics, especially when adding, subtracting, or comparing fractions, as having a common denominator allows for easier calculation. Understanding the relationship between numerators and denominators ensures that we can manipulate fractions correctly while preserving their values.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find an equivalent fraction of the following 1-8 with denominator 24 \u200b The Correct Answer and Explanation is: To find an equivalent fraction for a given fraction with a denominator of 24, we start with the fraction ( \\frac{1}{8} ) and find a way to express it in terms of the new denominator. Step-by-Step Process [&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-158115","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158115","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=158115"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158115\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}