{"id":45395,"date":"2025-07-01T06:50:56","date_gmt":"2025-07-01T06:50:56","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45395"},"modified":"2025-07-01T06:50:57","modified_gmt":"2025-07-01T06:50:57","slug":"in-2-5-a%c2%b7-4-7-the-quotient-will-be","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/in-2-5-a%c2%b7-4-7-the-quotient-will-be\/","title":{"rendered":"In 2\/5 \u00c3\u00b7 4\/7, the quotient will be"},"content":{"rendered":"\n

In 2\/5 \u00c3\u00b7 4\/7, the quotient will be . A. 7\/8 B. 7\/9 C. 7\/10 D. 7\/11 2. Corrected_text: 1\/2 divided by 4\/7 is equal to_. A. 4\/9 B. 5\/9 C. 7\/8 D. 4\/14 3. Corrected_text: Give the quotient in simplest form of 2 3\/4 \u00c3\u00b7 1 1\/4. A. 8\/12 B. 1 13\/27 C. 2 1\/5 D. 3 2\/3 4. Corrected_text: 1\/2 divided by 2 is equal to__<\/em><\/strong>. A. 1\/2 B. 1\/3 C. 1\/5 D. 1\/4 5. Corrected_text: In 2 5\/6 \u00c3\u00b7 2 2\/4 = N, what is N? A. 1 8\/60 B. 1 2\/15 C. 1 68\/60 D. 68\/60 6. Corrected_text: What is the quotient of 1\/3 \u00c3\u00b7 1\/2? A. 2\/3 B. 2\/5 C. 2\/6 D. 1\/6<\/p>\n\n\n\n

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

Let\u2019s work through each of these step-by-step:<\/p>\n\n\n\n

1. 25\u00f747\\frac{2}{5} \\div \\frac{4}{7}52\u200b\u00f774\u200b<\/strong><\/h3>\n\n\n\n

To divide by a fraction, you multiply by its reciprocal. The reciprocal of 47\\frac{4}{7}74\u200b is 74\\frac{7}{4}47\u200b. So: 25\u00d774=2\u00d775\u00d74=1420\\frac{2}{5} \\times \\frac{7}{4} = \\frac{2 \\times 7}{5 \\times 4} = \\frac{14}{20}52\u200b\u00d747\u200b=5\u00d742\u00d77\u200b=2014\u200b<\/p>\n\n\n\n

Now, simplify 1420\\frac{14}{20}2014\u200b by dividing both the numerator and the denominator by 2: 1420=710\\frac{14}{20} = \\frac{7}{10}2014\u200b=107\u200b<\/p>\n\n\n\n

So the correct answer is C. 710\\frac{7}{10}107\u200b<\/strong>.<\/p>\n\n\n\n

2. 12\u00f747\\frac{1}{2} \\div \\frac{4}{7}21\u200b\u00f774\u200b<\/strong><\/h3>\n\n\n\n

Again, multiply by the reciprocal: 12\u00d774=1\u00d772\u00d74=78\\frac{1}{2} \\times \\frac{7}{4} = \\frac{1 \\times 7}{2 \\times 4} = \\frac{7}{8}21\u200b\u00d747\u200b=2\u00d741\u00d77\u200b=87\u200b<\/p>\n\n\n\n

The correct answer is C. 78\\frac{7}{8}87\u200b<\/strong>.<\/p>\n\n\n\n

3. 234\u00f71142 \\frac{3}{4} \\div 1 \\frac{1}{4}243\u200b\u00f7141\u200b<\/strong><\/h3>\n\n\n\n

First, convert the mixed numbers into improper fractions: 234=114and114=542 \\frac{3}{4} = \\frac{11}{4} \\quad \\text{and} \\quad 1 \\frac{1}{4} = \\frac{5}{4}243\u200b=411\u200band141\u200b=45\u200b<\/p>\n\n\n\n

Now divide: 114\u00f754=114\u00d745=11\u00d744\u00d75=4420\\frac{11}{4} \\div \\frac{5}{4} = \\frac{11}{4} \\times \\frac{4}{5} = \\frac{11 \\times 4}{4 \\times 5} = \\frac{44}{20}411\u200b\u00f745\u200b=411\u200b\u00d754\u200b=4\u00d7511\u00d74\u200b=2044\u200b<\/p>\n\n\n\n

Simplify 4420\\frac{44}{20}2044\u200b: 4420=115\\frac{44}{20} = \\frac{11}{5}2044\u200b=511\u200b<\/p>\n\n\n\n

Convert this back into a mixed number: 115=215\\frac{11}{5} = 2 \\frac{1}{5}511\u200b=251\u200b<\/p>\n\n\n\n

So the correct answer is C. 2152 \\frac{1}{5}251\u200b<\/strong>.<\/p>\n\n\n\n

4. 12\u00f72\\frac{1}{2} \\div 221\u200b\u00f72<\/strong><\/h3>\n\n\n\n

To divide by 2, multiply by 12\\frac{1}{2}21\u200b: 12\u00f72=12\u00d712=14\\frac{1}{2} \\div 2 = \\frac{1}{2} \\times \\frac{1}{2} = \\frac{1}{4}21\u200b\u00f72=21\u200b\u00d721\u200b=41\u200b<\/p>\n\n\n\n

So the correct answer is D. 14\\frac{1}{4}41\u200b<\/strong>.<\/p>\n\n\n\n

5. 256\u00f72242 \\frac{5}{6} \\div 2 \\frac{2}{4}265\u200b\u00f7242\u200b<\/strong><\/h3>\n\n\n\n

Convert the mixed numbers into improper fractions: 256=176and224=104=522 \\frac{5}{6} = \\frac{17}{6} \\quad \\text{and} \\quad 2 \\frac{2}{4} = \\frac{10}{4} = \\frac{5}{2}265\u200b=617\u200band242\u200b=410\u200b=25\u200b<\/p>\n\n\n\n

Now divide: 176\u00f752=176\u00d725=17\u00d726\u00d75=3430\\frac{17}{6} \\div \\frac{5}{2} = \\frac{17}{6} \\times \\frac{2}{5} = \\frac{17 \\times 2}{6 \\times 5} = \\frac{34}{30}617\u200b\u00f725\u200b=617\u200b\u00d752\u200b=6\u00d7517\u00d72\u200b=3034\u200b<\/p>\n\n\n\n

Simplify 3430\\frac{34}{30}3034\u200b: 3430=1715\\frac{34}{30} = \\frac{17}{15}3034\u200b=1517\u200b<\/p>\n\n\n\n

Convert this to a mixed number: 1715=1215\\frac{17}{15} = 1 \\frac{2}{15}1517\u200b=1152\u200b<\/p>\n\n\n\n

So the correct answer is B. 12151 \\frac{2}{15}1152\u200b<\/strong>.<\/p>\n\n\n\n

6. 13\u00f712\\frac{1}{3} \\div \\frac{1}{2}31\u200b\u00f721\u200b<\/strong><\/h3>\n\n\n\n

To divide by 12\\frac{1}{2}21\u200b, multiply by its reciprocal: 13\u00d721=1\u00d723\u00d71=23\\frac{1}{3} \\times \\frac{2}{1} = \\frac{1 \\times 2}{3 \\times 1} = \\frac{2}{3}31\u200b\u00d712\u200b=3\u00d711\u00d72\u200b=32\u200b<\/p>\n\n\n\n

So the correct answer is A. 23\\frac{2}{3}32\u200b<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Summary of Answers:<\/h3>\n\n\n\n
    \n
  1. C. 710\\frac{7}{10}107\u200b<\/li>\n\n\n\n
  2. C. 78\\frac{7}{8}87\u200b<\/li>\n\n\n\n
  3. C. 2152 \\frac{1}{5}251\u200b<\/li>\n\n\n\n
  4. D. 14\\frac{1}{4}41\u200b<\/li>\n\n\n\n
  5. B. 12151 \\frac{2}{15}1152\u200b<\/li>\n\n\n\n
  6. A. 23\\frac{2}{3}32\u200b<\/li>\n<\/ol>\n\n\n\n
    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    In 2\/5 \u00c3\u00b7 4\/7, the quotient will be . A. 7\/8 B. 7\/9 C. 7\/10 D. 7\/11 2. Corrected_text: 1\/2 divided by 4\/7 is equal to_. A. 4\/9 B. 5\/9 C. 7\/8 D. 4\/14 3. Corrected_text: Give the quotient in simplest form of 2 3\/4 \u00c3\u00b7 1 1\/4. A. 8\/12 B. 1 13\/27 C. 2 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-45395","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=45395"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45395\/revisions"}],"predecessor-version":[{"id":45397,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45395\/revisions\/45397"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}