{"id":162440,"date":"2024-11-06T18:17:48","date_gmt":"2024-11-06T18:17:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162440"},"modified":"2024-11-06T18:17:51","modified_gmt":"2024-11-06T18:17:51","slug":"what-is-the-decimal-equivalent-of-5-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/what-is-the-decimal-equivalent-of-5-8\/","title":{"rendered":"What is the decimal equivalent of 5\/8"},"content":{"rendered":"\n

What is the decimal equivalent of 5\/8<\/p>\n\n\n\n

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

The decimal equivalent of ( \\frac{5}{8} ) is 0.625<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To convert a fraction to its decimal form, you divide the numerator (the number on top) by the denominator (the number on the bottom).<\/p>\n\n\n\n

For ( \\frac{5}{8} ), the numerator is 5, and the denominator is 8. To convert it into a decimal, we perform the division:<\/p>\n\n\n\n

[
5 \\div 8 = 0.625
]<\/p>\n\n\n\n

Step-by-step division process:<\/h3>\n\n\n\n
    \n
  1. Start with 5.00<\/strong> (or 5 with two zeros for precision).<\/li>\n\n\n\n
  2. Divide 50 by 8<\/strong>: The first part is ( 8 ) into 50, which goes 6 times (because 8 \u00d7 6 = 48). This gives 6 as the first decimal digit.<\/li>\n\n\n\n
  3. Subtract 48 from 50<\/strong>, leaving a remainder of 2.<\/li>\n\n\n\n
  4. Bring down the next zero<\/strong>, making the number 20.<\/li>\n\n\n\n
  5. Divide 20 by 8<\/strong>: 8 goes into 20 twice (because 8 \u00d7 2 = 16). This gives 2 as the next decimal digit.<\/li>\n\n\n\n
  6. Subtract 16 from 20<\/strong>, leaving a remainder of 4.<\/li>\n\n\n\n
  7. Bring down another zero<\/strong>, making it 40.<\/li>\n\n\n\n
  8. Divide 40 by 8<\/strong>: 8 goes into 40 five times (because 8 \u00d7 5 = 40). This gives 5 as the final decimal digit.<\/li>\n<\/ol>\n\n\n\n

    After the division, we get 0.625<\/strong>.<\/p>\n\n\n\n

    This result can be checked by multiplying the decimal back by 8 to ensure it gives the original numerator (5):<\/p>\n\n\n\n

    [
    0.625 \\times 8 = 5
    ]<\/p>\n\n\n\n

    General Rule:<\/h3>\n\n\n\n

    Whenever you divide a number by a power of 10 (like 8 in this case), the division process can be done through long division or by using a calculator, and the result can be written as a decimal. Fractions that cannot be expressed exactly as a finite decimal, such as ( \\frac{1}{3} ), will result in repeating decimals, but ( \\frac{5}{8} ) is a terminating decimal with a finite number of decimal places (3 digits).<\/p>\n","protected":false},"excerpt":{"rendered":"

    What is the decimal equivalent of 5\/8 The Correct Answer and Explanation is : The decimal equivalent of ( \\frac{5}{8} ) is 0.625. Explanation: To convert a fraction to its decimal form, you divide the numerator (the number on top) by the denominator (the number on the bottom). For ( \\frac{5}{8} ), the numerator is […]<\/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-162440","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162440","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=162440"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162440\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162440"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}