{"id":256038,"date":"2025-07-13T17:42:08","date_gmt":"2025-07-13T17:42:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=256038"},"modified":"2025-07-13T17:42:11","modified_gmt":"2025-07-13T17:42:11","slug":"how-do-you-convert-87-5-as-a-fraction-and-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/how-do-you-convert-87-5-as-a-fraction-and-a-decimal\/","title":{"rendered":"How do you convert 87.5% as a fraction and a decimal"},"content":{"rendered":"\n<p>How do you convert 87.5% as a fraction and a decimal<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert 87.5% into a fraction and a decimal, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Converting 87.5% to a Decimal:<\/h3>\n\n\n\n<p>To convert a percentage to a decimal, divide the percentage by 100. In this case:<\/p>\n\n\n\n<p><strong>87.5% \u00f7 100 = 0.875<\/strong><\/p>\n\n\n\n<p>So, 87.5% as a decimal is <strong>0.875<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Converting 87.5% to a Fraction:<\/h3>\n\n\n\n<p>Now, let&#8217;s convert 87.5% to a fraction. Start by writing the percentage as a fraction:<\/p>\n\n\n\n<p><strong>87.5% = 87.5\/100<\/strong><\/p>\n\n\n\n<p>To simplify the fraction, notice that 87.5 is equivalent to 87 and 1\/2 or 87.5\/1. So, the fraction becomes:<\/p>\n\n\n\n<p><strong>87.5\/100 = (87.5\/1) \u00f7 100 = 875\/1000<\/strong><\/p>\n\n\n\n<p>Next, simplify this fraction. Both 875 and 1000 can be divided by 125:<\/p>\n\n\n\n<p><strong>875 \u00f7 125 = 7<\/strong><br><strong>1000 \u00f7 125 = 8<\/strong><\/p>\n\n\n\n<p>So, the fraction simplifies to:<\/p>\n\n\n\n<p><strong>7\/8<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal:<\/strong> 87.5% = 0.875<\/li>\n\n\n\n<li><strong>Fraction:<\/strong> 87.5% = 7\/8<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Converting percentages involves understanding their relationship to 100. Since percentages represent &#8220;out of 100,&#8221; dividing by 100 converts them to decimal form. For fractions, percentages can be written as a fraction over 100, and simplification follows by dividing both the numerator and denominator by their greatest common divisor (GCD). By converting 87.5% into the fraction 7\/8, we express it in its simplest form, reflecting that 87.5% is the same as seven parts out of eight<\/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-banner6-552.jpeg\" alt=\"\" class=\"wp-image-256039\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>How do you convert 87.5% as a fraction and a decimal The Correct Answer and Explanation is: To convert 87.5% into a fraction and a decimal, follow these steps: 1. Converting 87.5% to a Decimal: To convert a percentage to a decimal, divide the percentage by 100. In this case: 87.5% \u00f7 100 = 0.875 [&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-256038","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256038","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=256038"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256038\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=256038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=256038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=256038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}