4\/7 divided by 2 1\/3<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To divide the fraction ( \\frac{4}{7} ) by the mixed number ( 2 \\frac{1}{3} ), we will follow a few simple steps.<\/p>\n\n\n\n First, we need to convert ( 2 \\frac{1}{3} ) into an improper fraction.<\/p>\n\n\n\n Now, we need to divide ( \\frac{4}{7} ) by ( \\frac{7}{3} ). Dividing fractions involves multiplying the first fraction by the reciprocal (or the inverse) of the second fraction.<\/p>\n\n\n\n The reciprocal of ( \\frac{7}{3} ) is ( \\frac{3}{7} ).<\/p>\n\n\n\n So, the division problem becomes: To multiply fractions, multiply the numerators (top numbers) and the denominators (bottom numbers): The fraction ( \\frac{12}{49} ) is already in its simplest form because 12 and 49 do not share any common factors other than 1. Therefore, the result is ( \\frac{12}{49} ).<\/p>\n\n\n\n The result of ( \\frac{4}{7} \\div 2 \\frac{1}{3} ) is ( \\frac{12}{49} ).<\/p>\n\n\n\n Thus, the correct answer is ( \\frac{12}{49} ).<\/p>\n","protected":false},"excerpt":{"rendered":" 4\/7 divided by 2 1\/3 The Correct Answer and Explanation is: To divide the fraction ( \\frac{4}{7} ) by the mixed number ( 2 \\frac{1}{3} ), we will follow a few simple steps. Step 1: Convert the mixed number to an improper fraction First, we need to convert ( 2 \\frac{1}{3} ) into an improper […]<\/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-162724","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162724","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=162724"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162724\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162724"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162724"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162724"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert the mixed number to an improper fraction<\/h3>\n\n\n\n
\n
[
2 \\times 3 = 6
]
[
6 + 1 = 7
]
So, ( 2 \\frac{1}{3} ) is equivalent to ( \\frac{7}{3} ).<\/li>\n<\/ul>\n\n\n\nStep 2: Division of fractions<\/h3>\n\n\n\n
[
\\frac{4}{7} \\div \\frac{7}{3} = \\frac{4}{7} \\times \\frac{3}{7}
]<\/p>\n\n\n\nStep 3: Multiply the fractions<\/h3>\n\n\n\n
[
\\frac{4}{7} \\times \\frac{3}{7} = \\frac{4 \\times 3}{7 \\times 7} = \\frac{12}{49}
]<\/p>\n\n\n\nStep 4: Simplify the result<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
Explanation of the steps:<\/h3>\n\n\n\n
\n