{"id":249288,"date":"2025-07-09T07:49:12","date_gmt":"2025-07-09T07:49:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249288"},"modified":"2025-07-09T07:49:15","modified_gmt":"2025-07-09T07:49:15","slug":"write-the-decimal-5-6-as-a-fraction-or-mixed-number-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/write-the-decimal-5-6-as-a-fraction-or-mixed-number-in-simplest-form\/","title":{"rendered":"Write the decimal 5.6 as a fraction or mixed number in simplest form"},"content":{"rendered":"\n<p>Write the decimal 5.6 as a fraction or mixed number in simplest form.<\/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 write the decimal 5.6 as a fraction in its simplest form, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Express the decimal as a fraction<\/strong>:<br>The number 5.6 is read as &#8220;five and six-tenths,&#8221; which means 5 and 6\/10. Therefore, you can write: 5.6=5+6105.6 = 5 + \\frac{6}{10}<\/li>\n\n\n\n<li><strong>Simplify the fraction<\/strong>:<br>Next, simplify the fraction 610\\frac{6}{10}. To do this, find the greatest common divisor (GCD) of 6 and 10. The GCD of 6 and 10 is 2, so divide both the numerator and denominator of the fraction by 2: 610=6\u00f7210\u00f72=35\\frac{6}{10} = \\frac{6 \\div 2}{10 \\div 2} = \\frac{3}{5}<\/li>\n\n\n\n<li><strong>Rewrite the mixed number<\/strong>:<br>Now you can express 5.6 as a mixed number: 5.6=5+35=255+35=2855.6 = 5 + \\frac{3}{5} = \\frac{25}{5} + \\frac{3}{5} = \\frac{28}{5}<\/li>\n<\/ol>\n\n\n\n<p>Thus, the decimal 5.6 as a fraction in simplest form is: 285\\frac{28}{5}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Start by expressing the decimal as a whole number plus a fraction. This helps visualize the decimal as a sum of its integer and fractional parts.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Simplifying the fraction is essential to express it in its simplest form. Dividing the numerator and denominator by their GCD ensures the fraction is in its lowest terms.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: The final result is written as an improper fraction, 285\\frac{28}{5}, which is mathematically equivalent to 5.6.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Write the decimal 5.6 as a fraction or mixed number in simplest form. The correct answer and explanation is: To write the decimal 5.6 as a fraction in its simplest form, follow these steps: Thus, the decimal 5.6 as a fraction in simplest form is: 285\\frac{28}{5} Explanation:<\/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-249288","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249288","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=249288"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249288\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249288"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249288"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}