{"id":249159,"date":"2025-07-09T04:02:47","date_gmt":"2025-07-09T04:02:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249159"},"modified":"2025-07-09T04:02:49","modified_gmt":"2025-07-09T04:02:49","slug":"write-0-4375-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/write-0-4375-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write 0.4375 as a fraction in simplest form."},"content":{"rendered":"\n<p>Write 0.4375 as a fraction 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-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert 0.4375 into a fraction, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the Decimal<\/h3>\n\n\n\n<p>The number 0.4375 means &#8220;four thousand three hundred seventy-five ten-thousandths,&#8221; or it is the same as 437510000\\frac{4375}{10000}100004375\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Express it as a Fraction<\/h3>\n\n\n\n<p>Write the decimal as a fraction:0.4375=4375100000.4375 = \\frac{4375}{10000}0.4375=100004375\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the Fraction<\/h3>\n\n\n\n<p>To simplify the fraction, find the greatest common divisor (GCD) of the numerator (4375) and the denominator (10000). The GCD of 4375 and 10000 is 125.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Divide by the GCD<\/h3>\n\n\n\n<p>Now, divide both the numerator and the denominator by their GCD (125):437510000=4375\u00f712510000\u00f7125=3580\\frac{4375}{10000} = \\frac{4375 \\div 125}{10000 \\div 125} = \\frac{35}{80}100004375\u200b=10000\u00f71254375\u00f7125\u200b=8035\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Simplify Again<\/h3>\n\n\n\n<p>Now simplify 3580\\frac{35}{80}8035\u200b. The GCD of 35 and 80 is 5. Divide both the numerator and denominator by 5:3580=35\u00f7580\u00f75=716\\frac{35}{80} = \\frac{35 \\div 5}{80 \\div 5} = \\frac{7}{16}8035\u200b=80\u00f7535\u00f75\u200b=167\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>Thus, 0.43750.43750.4375 as a fraction in simplest form is:716\\frac{7}{16}167\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>We started by converting the decimal to a fraction with a denominator of 10000, then simplified it by dividing both the numerator and denominator by their GCD. After finding that the simplified fraction is 716\\frac{7}{16}167\u200b, we concluded that this is the simplest form of the given decimal.<\/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-banner5-1096.jpeg\" alt=\"\" class=\"wp-image-249160\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 0.4375 as a fraction in simplest form. The Correct Answer and Explanation is: To convert 0.4375 into a fraction, follow these steps: Step 1: Understand the Decimal The number 0.4375 means &#8220;four thousand three hundred seventy-five ten-thousandths,&#8221; or it is the same as 437510000\\frac{4375}{10000}100004375\u200b. Step 2: Express it as a Fraction Write the decimal [&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-249159","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249159","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=249159"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249159\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}