{"id":165738,"date":"2024-11-12T19:54:13","date_gmt":"2024-11-12T19:54:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=165738"},"modified":"2024-11-12T19:54:15","modified_gmt":"2024-11-12T19:54:15","slug":"what-is-the-decimal-equivalent-of-8-3-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/12\/what-is-the-decimal-equivalent-of-8-3-2\/","title":{"rendered":"What is the decimal equivalent of 8\/3"},"content":{"rendered":"\n

What is the decimal equivalent of 8\/3<\/p>\n\n\n\n

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

The decimal equivalent of ( \\frac{8}{3} ) is approximately 2.6667<\/strong> (when rounded to four decimal places).<\/p>\n\n\n\n

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

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Here, you have ( \\frac{8}{3} ), so you need to perform the division ( 8 \\div 3 ).<\/p>\n\n\n\n

    \n
  1. Set up the Division<\/strong>: Place 8 as the dividend (inside the division symbol) and 3 as the divisor (outside the division symbol).<\/li>\n\n\n\n
  2. Divide<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • First, see how many times 3 can go into 8. It goes 2<\/strong> times, since ( 3 \\times 2 = 6 ), which is less than 8.<\/li>\n\n\n\n
    • Subtract 6 from 8, leaving a remainder of 2.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Add Decimal<\/strong>: Since there’s a remainder, add a decimal point to the quotient (the answer) and add a zero to the remainder, making it 20.<\/li>\n\n\n\n
      2. Continue Dividing<\/strong>:<\/li>\n<\/ol>\n\n\n\n
          \n
        • Now, divide 20 by 3. It goes 6<\/strong> times (since ( 3 \\times 6 = 18 )).<\/li>\n\n\n\n
        • Subtract 18 from 20, leaving a remainder of 2 again.<\/li>\n\n\n\n
        • Add another zero to make it 20 again, and repeat the process.<\/li>\n<\/ul>\n\n\n\n

          This repeating pattern results in the decimal 2.666\u2026<\/strong>, which is a recurring decimal often represented as 2.6667<\/strong> when rounded to four decimal places, or 2.\\overline{6}<\/strong> to indicate the repeating digit.<\/p>\n\n\n\n

          Understanding Recurring Decimals:<\/h3>\n\n\n\n

          In this case, 2.666\u2026 is an example of a repeating or recurring decimal because the digit 6 repeats indefinitely. This happens because 3 does not divide evenly into 8, and as you continue the division, you get the same remainder, causing the decimal part to repeat.<\/p>\n\n\n\n

          Practical Application:<\/h3>\n\n\n\n

          Knowing how to convert fractions like ( \\frac{8}{3} ) to decimals is useful in math, science, finance, and everyday calculations, as decimals are often easier to work with in various applications than fractions.<\/p>\n","protected":false},"excerpt":{"rendered":"

          What is the decimal equivalent of 8\/3 The Correct Answer and Explanation is: The decimal equivalent of ( \\frac{8}{3} ) is approximately 2.6667 (when rounded to four decimal places). Explanation: To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Here, you have ( \\frac{8}{3} ), so you […]<\/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-165738","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165738","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=165738"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165738\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}