{"id":155886,"date":"2024-10-16T17:13:30","date_gmt":"2024-10-16T17:13:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=155886"},"modified":"2024-10-16T17:13:33","modified_gmt":"2024-10-16T17:13:33","slug":"divide-and-write-in-simplest-form-5-6-divided-by-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/16\/divide-and-write-in-simplest-form-5-6-divided-by-3\/","title":{"rendered":"Divide and write in simplest form 5\/6 divided by 3"},"content":{"rendered":"\n

Divide and write in simplest form 5\/6 divided by 3<\/p>\n\n\n\n

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

To divide the fraction ( \\frac{5}{6} ) by the whole number 3, we can follow these steps:<\/p>\n\n\n\n

    \n
  1. Convert the Whole Number to a Fraction<\/strong>: We start by converting the whole number 3 into a fraction. Any whole number can be expressed as a fraction by placing it over 1. Thus, 3 can be written as ( \\frac{3}{1} ).<\/li>\n\n\n\n
  2. Set Up the Division of Fractions<\/strong>: When dividing fractions, we use the rule that states to divide by a fraction, you multiply by its reciprocal. Therefore, dividing ( \\frac{5}{6} ) by ( \\frac{3}{1} ) can be rewritten as multiplying by the reciprocal of ( \\frac{3}{1} ), which is ( \\frac{1}{3} ). This gives us:
    [
    \\frac{5}{6} \\div \\frac{3}{1} = \\frac{5}{6} \\times \\frac{1}{3}
    ]<\/li>\n\n\n\n
  3. Multiply the Numerators and Denominators<\/strong>: Now we multiply the numerators together and the denominators together:
    [
    \\frac{5 \\times 1}{6 \\times 3} = \\frac{5}{18}
    ]<\/li>\n\n\n\n
  4. Simplifying the Result<\/strong>: In this case, ( \\frac{5}{18} ) is already in its simplest form because 5 and 18 have no common factors other than 1.<\/li>\n<\/ol>\n\n\n\n

    Explanation of the Steps<\/h3>\n\n\n\n
      \n
    • Why Convert to a Fraction?<\/strong>: The reason we convert the whole number to a fraction is to make it easier to apply the rules of fraction division. This is particularly useful when dealing with mixed numbers or when whole numbers are involved.<\/li>\n\n\n\n
    • Understanding the Reciprocal<\/strong>: The reciprocal of a number is simply 1 divided by that number. For any fraction ( \\frac{a}{b} ), its reciprocal is ( \\frac{b}{a} ). This concept is critical in fraction operations, especially division.<\/li>\n\n\n\n
    • Multiplying Fractions<\/strong>: The process of multiplying fractions involves straightforward multiplication of the numerators and denominators. This is a fundamental property of fractions, and understanding it helps simplify various mathematical operations.<\/li>\n\n\n\n
    • Simplifying<\/strong>: Always check if the resulting fraction can be simplified. In this case, 5 is a prime number, and 18 is not divisible by 5, so the fraction remains ( \\frac{5}{18} ).<\/li>\n<\/ul>\n\n\n\n

      Thus, the final answer to ( \\frac{5}{6} \\div 3 ) is:
      [
      \\boxed{\\frac{5}{18}}
      ]<\/p>\n","protected":false},"excerpt":{"rendered":"

      Divide and write in simplest form 5\/6 divided by 3 The Correct Answer and Explanation is: To divide the fraction ( \\frac{5}{6} ) by the whole number 3, we can follow these steps: Explanation of the Steps Thus, the final answer to ( \\frac{5}{6} \\div 3 ) is:[\\boxed{\\frac{5}{18}}]<\/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-155886","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155886","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=155886"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155886\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=155886"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=155886"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=155886"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}