{"id":165891,"date":"2024-11-13T04:50:15","date_gmt":"2024-11-13T04:50:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=165891"},"modified":"2024-11-13T04:50:17","modified_gmt":"2024-11-13T04:50:17","slug":"which-expression-is-equivalent-to-1-3-divided-by-1-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/13\/which-expression-is-equivalent-to-1-3-divided-by-1-6\/","title":{"rendered":"Which expression is equivalent to 1\/3 divided by 1\/6"},"content":{"rendered":"\n

Which expression is equivalent to 1\/3 divided by 1\/6<\/p>\n\n\n\n

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

To find an expression equivalent to (\\frac{1}{3} \\div \\frac{1}{6}), we can use the rule for dividing fractions: to divide by a fraction, multiply by its reciprocal<\/em>. Here\u2019s the step-by-step solution:<\/p>\n\n\n\n

    \n
  1. Rewrite the Division<\/strong>:
    [
    \\frac{1}{3} \\div \\frac{1}{6}
    ]
    becomes:
    [
    \\frac{1}{3} \\times \\frac{6}{1}
    ]<\/li>\n\n\n\n
  2. Multiply the Fractions<\/strong>: Multiply the numerators (top numbers) and the denominators (bottom numbers):
    [
    \\frac{1 \\times 6}{3 \\times 1} = \\frac{6}{3}
    ]<\/li>\n\n\n\n
  3. Simplify the Result<\/strong>:
    [
    \\frac{6}{3} = 2
    ]<\/li>\n<\/ol>\n\n\n\n

    Thus, (\\frac{1}{3} \\div \\frac{1}{6} = 2).<\/p>\n\n\n\n

    Explanation (300 Words)<\/h3>\n\n\n\n

    When dividing fractions, we use the concept of the reciprocal<\/em>. The reciprocal of a fraction is simply flipping its numerator and denominator. So, the reciprocal of (\\frac{1}{6}) is (\\frac{6}{1}), or just 6. The division problem (\\frac{1}{3} \\div \\frac{1}{6}) is equivalent to asking, “How many times does (\\frac{1}{6}) fit into (\\frac{1}{3})?” When we turn this into a multiplication problem by using the reciprocal, it becomes easier to solve.<\/p>\n\n\n\n

    In this case, (\\frac{1}{3} \\times \\frac{6}{1} = \\frac{6}{3}). We then simplify (\\frac{6}{3}) by dividing both the numerator and the denominator by their greatest common factor, which is 3. This gives us 2.<\/p>\n\n\n\n

    This result makes sense because (\\frac{1}{6}) is half the size of (\\frac{1}{3}), so (\\frac{1}{3}) contains two (\\frac{1}{6}) parts. This approach applies to all fraction division problems: flipping the divisor and then multiplying makes it straightforward to determine how many times the divisor fraction fits into the dividend fraction.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Which expression is equivalent to 1\/3 divided by 1\/6 The Correct Answer and Explanation is : To find an expression equivalent to (\\frac{1}{3} \\div \\frac{1}{6}), we can use the rule for dividing fractions: to divide by a fraction, multiply by its reciprocal. Here\u2019s the step-by-step solution: Thus, (\\frac{1}{3} \\div \\frac{1}{6} = 2). Explanation (300 Words) […]<\/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-165891","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165891","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=165891"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165891\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165891"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165891"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}