{"id":260714,"date":"2025-07-19T16:13:46","date_gmt":"2025-07-19T16:13:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=260714"},"modified":"2025-07-19T16:13:48","modified_gmt":"2025-07-19T16:13:48","slug":"find-the-quotient-of-2-8-and-3-4-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/find-the-quotient-of-2-8-and-3-4-2\/","title":{"rendered":"Find the quotient of 2\/8 and 3\/4. 2."},"content":{"rendered":"\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?<\/p>\n\n\n\n

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

Let’s break down each of these problems step by step:<\/p>\n\n\n\n

\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 (or inverse) of the second fraction.<\/p>\n\n\n\n

So, for 28\u00f734\\frac{2}{8} \\div \\frac{3}{4}82\u200b\u00f743\u200b, we first rewrite the division as multiplication:28\u00d743\\frac{2}{8} \\times \\frac{4}{3}82\u200b\u00d734\u200b<\/p>\n\n\n\n

Now, multiply the numerators and denominators:2\u00d748\u00d73=824\\frac{2 \\times 4}{8 \\times 3} = \\frac{8}{24}8\u00d732\u00d74\u200b=248\u200b<\/p>\n\n\n\n

Simplify the fraction by dividing both the numerator and denominator by 8:824=13\\frac{8}{24} = \\frac{1}{3}248\u200b=31\u200b<\/p>\n\n\n\n

Thus, the quotient of 28\\frac{2}{8}82\u200b and 34\\frac{3}{4}43\u200b is 13\\frac{1}{3}31\u200b.<\/p>\n\n\n\n

\n\n\n\n

2. What is 313\u00f7233 \\frac{1}{3} \\div \\frac{2}{3}331\u200b\u00f732\u200b?<\/h3>\n\n\n\n

First, convert the mixed number 3133 \\frac{1}{3}331\u200b into an improper fraction:313=1033 \\frac{1}{3} = \\frac{10}{3}331\u200b=310\u200b<\/p>\n\n\n\n

Now, divide 103\\frac{10}{3}310\u200b by 23\\frac{2}{3}32\u200b. This becomes: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

Now, multiply the numerators and denominators:10\u00d733\u00d72=306\\frac{10 \\times 3}{3 \\times 2} = \\frac{30}{6}3\u00d7210\u00d73\u200b=630\u200b<\/p>\n\n\n\n

Simplify the fraction:306=5\\frac{30}{6} = 5630\u200b=5<\/p>\n\n\n\n

Thus, the result of 313\u00f7233 \\frac{1}{3} \\div \\frac{2}{3}331\u200b\u00f732\u200b is 5.<\/p>\n\n\n\n

\n\n\n\n

3. What will be the result if 2242 \\frac{2}{4}242\u200b is divided by 25\\frac{2}{5}52\u200b?<\/h3>\n\n\n\n

First, convert 2242 \\frac{2}{4}242\u200b into an improper fraction:224=1042 \\frac{2}{4} = \\frac{10}{4}242\u200b=410\u200b<\/p>\n\n\n\n

Now, divide 104\\frac{10}{4}410\u200b by 25\\frac{2}{5}52\u200b:104\u00f725=104\u00d752\\frac{10}{4} \\div \\frac{2}{5} = \\frac{10}{4} \\times \\frac{5}{2}410\u200b\u00f752\u200b=410\u200b\u00d725\u200b<\/p>\n\n\n\n

Now, multiply the numerators and denominators:10\u00d754\u00d72=508\\frac{10 \\times 5}{4 \\times 2} = \\frac{50}{8}4\u00d7210\u00d75\u200b=850\u200b<\/p>\n\n\n\n

Simplify the fraction by dividing both the numerator and denominator by 2:508=254\\frac{50}{8} = \\frac{25}{4}850\u200b=425\u200b<\/p>\n\n\n\n

Convert the improper fraction 254\\frac{25}{4}425\u200b back to a mixed number:254=614\\frac{25}{4} = 6 \\frac{1}{4}425\u200b=641\u200b<\/p>\n\n\n\n

Thus, the result of 224\u00f7252 \\frac{2}{4} \\div \\frac{2}{5}242\u200b\u00f752\u200b is 6146 \\frac{1}{4}641\u200b.<\/p>\n\n\n\n

\n\n\n\n

4. What is the quotient of 4234 \\frac{2}{3}432\u200b and 1241 \\frac{2}{4}142\u200b?<\/h3>\n\n\n\n

Convert the mixed numbers into improper fractions:423=143,124=64=324 \\frac{2}{3} = \\frac{14}{3}, \\quad 1 \\frac{2}{4} = \\frac{6}{4} = \\frac{3}{2}432\u200b=314\u200b,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

Now, multiply the numerators and denominators: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 the improper fraction 289\\frac{28}{9}928\u200b back to a mixed number:289=319\\frac{28}{9} = 3 \\frac{1}{9}928\u200b=391\u200b<\/p>\n\n\n\n

Thus, the quotient of 4234 \\frac{2}{3}432\u200b and 1241 \\frac{2}{4}142\u200b is 3193 \\frac{1}{9}391\u200b.<\/p>\n\n\n\n

\n\n\n\n

Summary of Answers:<\/h3>\n\n\n\n
    \n
  1. 28\u00f734=13\\frac{2}{8} \\div \\frac{3}{4} = \\frac{1}{3}82\u200b\u00f743\u200b=31\u200b<\/li>\n\n\n\n
  2. 313\u00f723=53 \\frac{1}{3} \\div \\frac{2}{3} = 5331\u200b\u00f732\u200b=5<\/li>\n\n\n\n
  3. 224\u00f725=6142 \\frac{2}{4} \\div \\frac{2}{5} = 6 \\frac{1}{4}242\u200b\u00f752\u200b=641\u200b<\/li>\n\n\n\n
  4. 423\u00f7124=3194 \\frac{2}{3} \\div 1 \\frac{2}{4} = 3 \\frac{1}{9}432\u200b\u00f7142\u200b=391\u200b<\/li>\n<\/ol>\n\n\n\n

    These steps involve converting mixed numbers into improper fractions, multiplying by the reciprocal, and simplifying the result.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    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 break down each of these problems 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-260714","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260714","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=260714"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260714\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260714"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260714"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260714"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}