{"id":260420,"date":"2025-07-19T13:00:45","date_gmt":"2025-07-19T13:00:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=260420"},"modified":"2025-07-19T13:00:49","modified_gmt":"2025-07-19T13:00:49","slug":"write-each-decimal-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/write-each-decimal-as-a-fraction\/","title":{"rendered":"Write each decimal as a fraction"},"content":{"rendered":"\n<p>Write each decimal as a fraction: a. 3.0625 b. 0.78125<\/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<h3 class=\"wp-block-heading\">a) 3.0625 as a fraction<\/h3>\n\n\n\n<p>To convert 3.0625 into a fraction, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Separate the whole number from the decimal<\/strong>: The whole number is 3, and the decimal is 0.0625.<\/li>\n\n\n\n<li><strong>Convert the decimal part to a fraction<\/strong>:\n<ul class=\"wp-block-list\">\n<li>0.0625 can be written as 625\/10000 because the decimal has four digits after the decimal point.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Simplify the fraction<\/strong>:<ul><li>625 and 10000 have a greatest common divisor (GCD) of 125. Divide both the numerator and denominator by 125:<\/li><\/ul>62510000=625\u00f712510000\u00f7125=580\\frac{625}{10000} = \\frac{625 \\div 125}{10000 \\div 125} = \\frac{5}{80}<ul><li>The simplified fraction is 5\/80, and dividing both the numerator and denominator by 5 gives:<\/li><\/ul>580=116\\frac{5}{80} = \\frac{1}{16}<\/li>\n\n\n\n<li><strong>Combine the whole number with the fraction<\/strong>:<ul><li>The whole number 3 can be written as 3\/1, and the fraction 0.0625 is 1\/16.<\/li><li>Therefore, the complete fraction form is:<\/li><\/ul>3116or49163 \\frac{1}{16} \\quad \\text{or} \\quad \\frac{49}{16}<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">b) 0.78125 as a fraction<\/h3>\n\n\n\n<p>To convert 0.78125 into a fraction, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Write the decimal as a fraction<\/strong>: 0.78125 has five digits after the decimal, so write it as: 78125100000\\frac{78125}{100000}<\/li>\n\n\n\n<li><strong>Simplify the fraction<\/strong>:<ul><li>The GCD of 78125 and 100000 is 15625. Divide both the numerator and denominator by 15625:<\/li><\/ul>78125100000=78125\u00f715625100000\u00f715625=564\\frac{78125}{100000} = \\frac{78125 \\div 15625}{100000 \\div 15625} = \\frac{5}{64}<\/li>\n<\/ol>\n\n\n\n<p>So, 0.78125 as a fraction is 5\/64.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3.0625 = 49\/16<\/li>\n\n\n\n<li>0.78125 = 5\/64<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Write each decimal as a fraction: a. 3.0625 b. 0.78125 The correct answer and explanation is: a) 3.0625 as a fraction To convert 3.0625 into a fraction, follow these steps: b) 0.78125 as a fraction To convert 0.78125 into a fraction, follow these steps: So, 0.78125 as a fraction is 5\/64. Conclusion<\/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-260420","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260420","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=260420"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260420\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260420"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260420"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}