{"id":226992,"date":"2025-06-05T17:50:05","date_gmt":"2025-06-05T17:50:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226992"},"modified":"2025-06-05T17:50:32","modified_gmt":"2025-06-05T17:50:32","slug":"convert-the-decimal-to-a-fraction-in-simplest-form-0-0625","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/convert-the-decimal-to-a-fraction-in-simplest-form-0-0625\/","title":{"rendered":"Convert the decimal to a fraction in simplest form: 0.0625 ="},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Convert the decimal to a fraction in simplest form: 0.0625 =<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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 class=\"wp-block-paragraph\"><strong>Correct Answer:<\/strong> 0.0625=1160.0625 = \\frac{1}{16}0.0625=161\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To convert the decimal <strong>0.0625<\/strong> into a fraction in simplest form, we follow a few clear steps.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Understand Place Value<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The decimal <strong>0.0625<\/strong> means <strong>625 ten-thousandths<\/strong> (because the last digit, 5, is in the ten-thousandths place).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So we can first write: 0.0625=62510,0000.0625 = \\frac{625}{10,000}0.0625=10,000625\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Simplify the Fraction<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Now, simplify the fraction <strong>625\/10,000<\/strong> by dividing both the numerator and the denominator by their <strong>greatest common divisor (GCD)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s find the GCD of 625 and 10,000:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>625 \u00f7 125 = 5<\/strong><\/li>\n\n\n\n<li><strong>10,000 \u00f7 125 = 80<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So, 62510,000=580\\frac{625}{10,000} = \\frac{5}{80}10,000625\u200b=805\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now simplify <strong>5\/80<\/strong> further:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>5 \u00f7 5 = 1<\/strong><\/li>\n\n\n\n<li><strong>80 \u00f7 5 = 16<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore: 580=116\\frac{5}{80} = \\frac{1}{16}805\u200b=161\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, 0.0625=1160.0625 = \\frac{1}{16}0.0625=161\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Alternative Method: Using Powers of 10<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Since 0.0625 is a terminating decimal, we can also convert it using place values: 0.0625=62510,0000.0625 = \\frac{625}{10,000}0.0625=10,000625\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is the same fraction as before, and simplifies to <strong>1\/16<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The decimal <strong>0.0625<\/strong> equals the fraction <strong>1\/16<\/strong> in simplest form. This conversion shows how understanding place value and simplifying fractions using the greatest common divisor helps translate decimals into clean, exact fractions. This skill is especially useful in nursing, science, and other fields that require precise measurement and interpretation of numerical data.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner6-69.jpeg\" alt=\"\" class=\"wp-image-226993\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert the decimal to a fraction in simplest form: 0.0625 = The Correct Answer and Explanation is: Correct Answer: 0.0625=1160.0625 = \\frac{1}{16}0.0625=161\u200b Explanation: To convert the decimal 0.0625 into a fraction in simplest form, we follow a few clear steps. Step 1: Understand Place Value The decimal 0.0625 means 625 ten-thousandths (because the last digit, [&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-226992","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226992","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=226992"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226992\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}