{"id":167349,"date":"2024-11-15T16:20:18","date_gmt":"2024-11-15T16:20:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167349"},"modified":"2024-11-15T16:20:20","modified_gmt":"2024-11-15T16:20:20","slug":"equivalent-fraction-for-5-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/equivalent-fraction-for-5-3\/","title":{"rendered":"Equivalent fraction for 5\/3\u200b"},"content":{"rendered":"\n<p>Equivalent fraction for 5\/3\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>An equivalent fraction for ( \\frac{5}{3} ) can be generated by multiplying both the numerator (5) and the denominator (3) by the same number. In this case, let&#8217;s choose 2 as the multiplier.<\/p>\n\n\n\n<p>So, multiply both the numerator and denominator of ( \\frac{5}{3} ) by 2:<br>[<br>\\frac{5}{3} \\times \\frac{2}{2} = \\frac{10}{6}<br>]<\/p>\n\n\n\n<p>Thus, ( \\frac{10}{6} ) is an equivalent fraction to ( \\frac{5}{3} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>fraction<\/strong> represents the division of two numbers, with the <strong>numerator<\/strong> (the number above the fraction line) indicating how many parts we have, and the <strong>denominator<\/strong> (the number below the fraction line) indicating how many equal parts the whole is divided into.<\/p>\n\n\n\n<p><strong>Equivalent fractions<\/strong> are fractions that represent the same value or proportion, even though they may look different. To create equivalent fractions, we multiply or divide both the numerator and the denominator of a fraction by the same nonzero number. This does not change the value of the fraction because the operation preserves the ratio between the numerator and denominator.<\/p>\n\n\n\n<p>In the case of ( \\frac{5}{3} ), if we multiply both the numerator and the denominator by a number such as 2, we get:<br>[<br>\\frac{5}{3} \\times \\frac{2}{2} = \\frac{10}{6}<br>]<br>Here, ( \\frac{10}{6} ) represents the same quantity as ( \\frac{5}{3} ), but the fraction looks different. Both ( \\frac{5}{3} ) and ( \\frac{10}{6} ) are improper fractions because their numerators are greater than their denominators.<\/p>\n\n\n\n<p>Alternatively, we can simplify a fraction to obtain an equivalent fraction. For example, ( \\frac{10}{6} ) can be simplified by dividing both the numerator and the denominator by 2, resulting in ( \\frac{5}{3} ). This demonstrates that ( \\frac{5}{3} ) and ( \\frac{10}{6} ) are equivalent fractions.<\/p>\n\n\n\n<p>In conclusion, equivalent fractions like ( \\frac{5}{3} ) and ( \\frac{10}{6} ) have the same value but different numerators and denominators. They provide different ways of expressing the same ratio.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Equivalent fraction for 5\/3\u200b The Correct Answer and Explanation is: An equivalent fraction for ( \\frac{5}{3} ) can be generated by multiplying both the numerator (5) and the denominator (3) by the same number. In this case, let&#8217;s choose 2 as the multiplier. So, multiply both the numerator and denominator of ( \\frac{5}{3} ) by [&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-167349","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167349","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=167349"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167349\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}