{"id":263164,"date":"2025-07-21T05:05:21","date_gmt":"2025-07-21T05:05:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=263164"},"modified":"2025-07-21T05:05:24","modified_gmt":"2025-07-21T05:05:24","slug":"enter-the-number-in-two-equivalent-forms-62-5-5-written-as-a-decimal-is-62-5-written-as-a-fraction-in-simplest-form-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/enter-the-number-in-two-equivalent-forms-62-5-5-written-as-a-decimal-is-62-5-written-as-a-fraction-in-simplest-form-is\/","title":{"rendered":"Enter the number in two equivalent forms. 62.5 5% written as a decimal is 62.5% written as a fraction in simplest form is"},"content":{"rendered":"\n

Enter the number in two equivalent forms. 62.5 5% written as a decimal is 62.5% written as a fraction in simplest form is _<\/em><\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To express 62.5% in two equivalent forms (as a decimal and a fraction), let\u2019s break it down step by step.<\/p>\n\n\n\n

1. Converting 62.5% to a decimal:<\/strong><\/h3>\n\n\n\n

To convert a percentage to a decimal, divide the percentage by 100. This is because the word “percent” means “per hundred,” so you essentially shift the decimal point two places to the left.<\/p>\n\n\n\n

So for 62.5%, you divide 62.5 by 100:62.5%=62.5100=0.62562.5\\% = \\frac{62.5}{100} = 0.62562.5%=10062.5\u200b=0.625<\/p>\n\n\n\n

Thus, 62.5% as a decimal is 0.625<\/strong>.<\/p>\n\n\n\n

2. Converting 62.5% to a fraction in simplest form:<\/strong><\/h3>\n\n\n\n

To convert 62.5% to a fraction, first express 62.5% as a fraction:62.5%=62.510062.5\\% = \\frac{62.5}{100}62.5%=10062.5\u200b<\/p>\n\n\n\n

Next, eliminate the decimal by multiplying both the numerator and denominator by 10:62.5100=6251000\\frac{62.5}{100} = \\frac{625}{1000}10062.5\u200b=1000625\u200b<\/p>\n\n\n\n

Now, simplify this fraction. To do so, find the greatest common divisor (GCD) of 625 and 1000, which is 125. Divide both the numerator and the denominator by 125:625\u00f71251000\u00f7125=58\\frac{625 \\div 125}{1000 \\div 125} = \\frac{5}{8}1000\u00f7125625\u00f7125\u200b=85\u200b<\/p>\n\n\n\n

Thus, 62.5% as a fraction in simplest form is 58\\frac{5}{8}85\u200b<\/strong>.<\/p>\n\n\n\n

Summary:<\/h3>\n\n\n\n
    \n
  • 62.5% as a decimal is 0.625.<\/strong><\/li>\n\n\n\n
  • 62.5% as a fraction in simplest form is 58\\frac{5}{8}85\u200b.<\/strong><\/li>\n<\/ul>\n\n\n\n

    This method of converting percentages involves shifting the decimal for decimals and simplifying fractions through common divisors. Both forms represent the same value but in different mathematical expressions.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Enter the number in two equivalent forms. 62.5 5% written as a decimal is 62.5% written as a fraction in simplest form is _ The Correct Answer and Explanation is: To express 62.5% in two equivalent forms (as a decimal and a fraction), let\u2019s break it down step by step. 1. Converting 62.5% to a […]<\/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-263164","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263164","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=263164"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/263164\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=263164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=263164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=263164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}