Let’s go through each of these questions step by step:<\/p>\n\n\n\n
1. Find the quotient of 2\/8 and 3\/4.<\/h3>\n\n\n\n
To divide fractions, you multiply the first fraction by the reciprocal (inverse) of the second fraction. 28\u00f734=28\u00d743\\frac{2}{8} \\div \\frac{3}{4} = \\frac{2}{8} \\times \\frac{4}{3}82\u200b\u00f743\u200b=82\u200b\u00d734\u200b<\/p>\n\n\n\n
First, simplify the fractions: 28=14\\frac{2}{8} = \\frac{1}{4}82\u200b=41\u200b<\/p>\n\n\n\n
Now multiply: 14\u00d743=1\u00d744\u00d73=412=13\\frac{1}{4} \\times \\frac{4}{3} = \\frac{1 \\times 4}{4 \\times 3} = \\frac{4}{12} = \\frac{1}{3}41\u200b\u00d734\u200b=4\u00d731\u00d74\u200b=124\u200b=31\u200b<\/p>\n\n\n\n
Answer:<\/strong> The quotient is 13\\frac{1}{3}31\u200b.<\/p>\n\n\n\n To divide mixed numbers, first convert the mixed number to an improper fraction. 313=1033 \\frac{1}{3} = \\frac{10}{3}331\u200b=310\u200b<\/p>\n\n\n\n Now, divide by 23\\frac{2}{3}32\u200b: 103\u00f723=103\u00d732\\frac{10}{3} \\div \\frac{2}{3} = \\frac{10}{3} \\times \\frac{3}{2}310\u200b\u00f732\u200b=310\u200b\u00d723\u200b<\/p>\n\n\n\n Multiply the fractions: 10\u00d733\u00d72=306=5\\frac{10 \\times 3}{3 \\times 2} = \\frac{30}{6} = 53\u00d7210\u00d73\u200b=630\u200b=5<\/p>\n\n\n\n Answer:<\/strong> The result is 555.<\/p>\n\n\n\n First, convert the mixed number 2242 \\frac{2}{4}242\u200b to an improper fraction: 224=104=522 \\frac{2}{4} = \\frac{10}{4} = \\frac{5}{2}242\u200b=410\u200b=25\u200b<\/p>\n\n\n\n Now divide by 25\\frac{2}{5}52\u200b: 52\u00f725=52\u00d752\\frac{5}{2} \\div \\frac{2}{5} = \\frac{5}{2} \\times \\frac{5}{2}25\u200b\u00f752\u200b=25\u200b\u00d725\u200b<\/p>\n\n\n\n Multiply the fractions: 5\u00d752\u00d72=254\\frac{5 \\times 5}{2 \\times 2} = \\frac{25}{4}2\u00d725\u00d75\u200b=425\u200b<\/p>\n\n\n\n Convert this back to a mixed number: 254=614\\frac{25}{4} = 6 \\frac{1}{4}425\u200b=641\u200b<\/p>\n\n\n\n Answer:<\/strong> The result is 6146 \\frac{1}{4}641\u200b.<\/p>\n\n\n\n Convert both mixed numbers to improper fractions. For 4234 \\frac{2}{3}432\u200b: 423=1434 \\frac{2}{3} = \\frac{14}{3}432\u200b=314\u200b<\/p>\n\n\n\n For 1241 \\frac{2}{4}142\u200b: 124=64=321 \\frac{2}{4} = \\frac{6}{4} = \\frac{3}{2}142\u200b=46\u200b=23\u200b<\/p>\n\n\n\n Now divide 143\\frac{14}{3}314\u200b by 32\\frac{3}{2}23\u200b: 143\u00f732=143\u00d723\\frac{14}{3} \\div \\frac{3}{2} = \\frac{14}{3} \\times \\frac{2}{3}314\u200b\u00f723\u200b=314\u200b\u00d732\u200b<\/p>\n\n\n\n Multiply the fractions: 14\u00d723\u00d73=289\\frac{14 \\times 2}{3 \\times 3} = \\frac{28}{9}3\u00d7314\u00d72\u200b=928\u200b<\/p>\n\n\n\n Convert 289\\frac{28}{9}928\u200b to a mixed number: 289=319\\frac{28}{9} = 3 \\frac{1}{9}928\u200b=391\u200b<\/p>\n\n\n\n Answer:<\/strong> The quotient is 3193 \\frac{1}{9}391\u200b.<\/p>\n\n\n\n Find the quotient of 2\/8 and 3\/4. 2. What is 3 1\/3 divided by 2\/3? 3. What will be the result if 2 2\/4 is divided by 2\/5? 4. What is the quotient of 4 2\/3 and 1 2\/4? The Correct Answer and Explanation is: Let’s go through each of these questions step by step: […]<\/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-261851","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261851","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=261851"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261851\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n2. What is 3 1\/3 divided by 2\/3?<\/h3>\n\n\n\n
\n\n\n\n3. What will be the result if 2 2\/4 is divided by 2\/5?<\/h3>\n\n\n\n
\n\n\n\n4. What is the quotient of 4 2\/3 and 1 2\/4?<\/h3>\n\n\n\n
\n\n\n\nSummary of answers:<\/h3>\n\n\n\n
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![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1186.jpeg\")
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