{"id":165235,"date":"2024-11-11T14:22:02","date_gmt":"2024-11-11T14:22:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=165235"},"modified":"2024-11-11T14:22:04","modified_gmt":"2024-11-11T14:22:04","slug":"what-is-14-divided-by-3-as-a-fraction-than-in-mixed-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/11\/what-is-14-divided-by-3-as-a-fraction-than-in-mixed-numbers\/","title":{"rendered":"What is 14 divided by 3 as a fraction than in mixed numbers"},"content":{"rendered":"\n

What is 14 divided by 3 as a fraction than in mixed numbers?<\/p>\n\n\n\n

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

To divide 14 by 3 and express the result as a fraction and a mixed number, we can break the process down step by step.<\/p>\n\n\n\n

1. Division as a Fraction<\/strong><\/h3>\n\n\n\n

When you divide 14 by 3, you can write it as the fraction:<\/p>\n\n\n\n

[
\\frac{14}{3}
]<\/p>\n\n\n\n

This fraction represents the result of dividing 14 (the numerator) by 3 (the denominator). The fraction shows the exact relationship between the two numbers.<\/p>\n\n\n\n

2. Simplifying the Fraction<\/strong><\/h3>\n\n\n\n

The fraction (\\frac{14}{3}) is already in its simplest form. Since 14 and 3 do not have any common factors other than 1, the fraction cannot be simplified further. The next step is to express this improper fraction as a mixed number.<\/p>\n\n\n\n

3. Converting to a Mixed Number<\/strong><\/h3>\n\n\n\n

A mixed number combines a whole number with a proper fraction. To convert (\\frac{14}{3}) into a mixed number, we need to perform the division:<\/p>\n\n\n\n

    \n
  • Divide 14 by 3. The quotient is 4, because 3 goes into 14 four times (since (3 \\times 4 = 12)).<\/li>\n\n\n\n
  • The remainder is 2, because when 12 is subtracted from 14, 2 remains.<\/li>\n<\/ul>\n\n\n\n

    So, we can express (\\frac{14}{3}) as:<\/p>\n\n\n\n

    [
    4 \\frac{2}{3}
    ]<\/p>\n\n\n\n

    This is the mixed number form, where 4 is the whole number, and (\\frac{2}{3}) is the proper fraction.<\/p>\n\n\n\n

    4. Explanation of the Process<\/strong><\/h3>\n\n\n\n

    The conversion process from an improper fraction to a mixed number involves two parts:<\/p>\n\n\n\n

      \n
    1. Finding how many times the denominator (3) fits into the numerator (14)<\/strong>: This gives the whole number (quotient).<\/li>\n\n\n\n
    2. Determining the remainder<\/strong>: The remainder, which is the part that doesn’t fully divide by the denominator, becomes the new numerator in the proper fraction, while the denominator remains the same.<\/li>\n<\/ol>\n\n\n\n

      Therefore, (\\frac{14}{3}) as a mixed number is (4 \\frac{2}{3}), and this gives us both an exact fraction and a more intuitive mixed number form.<\/p>\n","protected":false},"excerpt":{"rendered":"

      What is 14 divided by 3 as a fraction than in mixed numbers? The Correct Answer and Explanation is: To divide 14 by 3 and express the result as a fraction and a mixed number, we can break the process down step by step. 1. Division as a Fraction When you divide 14 by 3, […]<\/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-165235","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165235","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=165235"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165235\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}