{"id":157550,"date":"2024-10-22T10:21:54","date_gmt":"2024-10-22T10:21:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=157550"},"modified":"2024-10-22T10:21:57","modified_gmt":"2024-10-22T10:21:57","slug":"what-is-this-fraction-in-decimal-form-3-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/22\/what-is-this-fraction-in-decimal-form-3-8\/","title":{"rendered":"What is this fraction in decimal form 3\/8"},"content":{"rendered":"\n

What is this fraction in decimal form 3\/8?<\/p>\n\n\n\n

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

To convert the fraction ( \\frac{3}{8} ) into decimal form, we can use division. The numerator (3) is divided by the denominator (8). Here’s how the calculation unfolds step-by-step:<\/p>\n\n\n\n

    \n
  1. Set up the division<\/strong>: We can express ( \\frac{3}{8} ) as ( 3 \\div 8 ).<\/li>\n\n\n\n
  2. Perform the division<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • 8 does not go into 3, so we start with a 0 and place a decimal point, making it ( 3.0 ) (or ( 30 ) tenths).<\/li>\n\n\n\n
    • 8 goes into 30 three times (because ( 8 \\times 3 = 24 )), leaving a remainder of 6 (since ( 30 – 24 = 6 )).<\/li>\n\n\n\n
    • Bring down a zero, making the new number 60.<\/li>\n\n\n\n
    • 8 goes into 60 seven times (as ( 8 \\times 7 = 56 )), with a remainder of 4 (since ( 60 – 56 = 4 )).<\/li>\n\n\n\n
    • Bring down another zero, resulting in 40.<\/li>\n\n\n\n
    • 8 goes into 40 five times (because ( 8 \\times 5 = 40 )), with no remainder (since ( 40 – 40 = 0 )).<\/li>\n<\/ul>\n\n\n\n

      Putting this all together, the division yields:
      [
      3 \\div 8 = 0.375
      ]<\/p>\n\n\n\n

      Thus, the decimal representation of ( \\frac{3}{8} ) is ( 0.375 ).<\/p>\n\n\n\n

      Explanation of the Conversion Process<\/h3>\n\n\n\n

      The conversion of fractions to decimals is an essential skill in mathematics, especially in fields like science, engineering, and finance, where precise calculations are necessary. The process of converting ( \\frac{3}{8} ) to a decimal not only illustrates basic arithmetic but also demonstrates the concept of division.<\/p>\n\n\n\n

      Understanding fractions and decimals is crucial because they are two different ways to represent parts of a whole. A fraction indicates a division of the numerator by the denominator, while a decimal expresses that division in a base-10 format, making it often easier to interpret and use in calculations. This conversion method helps facilitate comparisons and computations involving different measurements.<\/p>\n\n\n\n

      In real-world applications, such as cooking or financial transactions, having a decimal equivalent allows for greater precision and clarity. Therefore, learning how to convert fractions like ( \\frac{3}{8} ) into decimals is a foundational skill that enhances numerical fluency and confidence in mathematical operations.<\/p>\n","protected":false},"excerpt":{"rendered":"

      What is this fraction in decimal form 3\/8? The Correct Answer and Explanation is: To convert the fraction ( \\frac{3}{8} ) into decimal form, we can use division. The numerator (3) is divided by the denominator (8). Here’s how the calculation unfolds step-by-step: Putting this all together, the division yields:[3 \\div 8 = 0.375] Thus, […]<\/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-157550","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157550","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=157550"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157550\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}