{"id":263155,"date":"2025-07-21T05:03:35","date_gmt":"2025-07-21T05:03:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263155"},"modified":"2025-07-21T05:03:37","modified_gmt":"2025-07-21T05:03:37","slug":"62-5-as-a-decimal-and-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/62-5-as-a-decimal-and-as-a-fraction\/","title":{"rendered":"62.5% as a decimal and as a fraction."},"content":{"rendered":"\n<p>62.5% as a decimal and as a fraction. PLEASE SHOW WORK.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert <strong>62.5%<\/strong> into a decimal and a fraction, let&#8217;s follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the percentage to a decimal<\/h3>\n\n\n\n<p>To convert a percentage into a decimal, you divide by <strong>100<\/strong>. This means:62.5%=62.510062.5\\% = \\frac{62.5}{100}62.5%=10062.5\u200b<\/p>\n\n\n\n<p>Now, perform the division:62.5\u00f7100=0.62562.5 \\div 100 = 0.62562.5\u00f7100=0.625<\/p>\n\n\n\n<p>So, <strong>62.5%<\/strong> as a decimal is <strong>0.625<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert the decimal to a fraction<\/h3>\n\n\n\n<p>Now, let&#8217;s convert the decimal <strong>0.625<\/strong> into a fraction. Since <strong>0.625<\/strong> has three decimal places, we can write it as:0.625=62510000.625 = \\frac{625}{1000}0.625=1000625\u200b<\/p>\n\n\n\n<p>Next, simplify this fraction. Both <strong>625<\/strong> and <strong>1000<\/strong> can be divided by <strong>125<\/strong> (the greatest common divisor of 625 and 1000):625\u00f71251000\u00f7125=58\\frac{625 \\div 125}{1000 \\div 125} = \\frac{5}{8}1000\u00f7125625\u00f7125\u200b=85\u200b<\/p>\n\n\n\n<p>Thus, <strong>0.625<\/strong> as a fraction is <strong>58\\frac{5}{8}85\u200b<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>62.5%<\/strong> as a decimal is <strong>0.625<\/strong>.<\/li>\n\n\n\n<li><strong>62.5%<\/strong> as a fraction is <strong>58\\frac{5}{8}85\u200b<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The decimal conversion is straightforward: just divide by 100.<\/li>\n\n\n\n<li>The fraction conversion involves recognizing that decimals can be expressed as fractions over powers of 10, then simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor.<\/li>\n<\/ul>\n\n\n\n<p>The key takeaway is that percentages can easily be converted into decimals and fractions, and the fractions can usually be simplified further for clarity.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1279.jpeg\" alt=\"\" class=\"wp-image-263159\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>62.5% as a decimal and as a fraction. PLEASE SHOW WORK. The Correct Answer and Explanation is: To convert 62.5% into a decimal and a fraction, let&#8217;s follow these steps: Step 1: Convert the percentage to a decimal To convert a percentage into a decimal, you divide by 100. This means:62.5%=62.510062.5\\% = \\frac{62.5}{100}62.5%=10062.5\u200b Now, perform [&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-263155","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263155","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=263155"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263155\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}