{"id":45351,"date":"2025-07-01T06:03:48","date_gmt":"2025-07-01T06:03:48","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45351"},"modified":"2025-07-01T06:03:50","modified_gmt":"2025-07-01T06:03:50","slug":"find-the-quotient-of-the-given-fractions-below-with-solutions","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-quotient-of-the-given-fractions-below-with-solutions\/","title":{"rendered":"Find the quotient of the given fractions below with solutions"},"content":{"rendered":"\n
Find the quotient of the given fractions below with solutions: 1.) 7\/8 divided by 1\/60 2.) 1\/6 divided by 5\/12 3.) 5\/12 divided by 1\/60 4.) 12\/5 divided by 1\/6<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Let’s work through the division of fractions step by step for each problem. The rule for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.<\/p>\n\n\n\n
To divide 78\\frac{7}{8}87\u200b by 160\\frac{1}{60}601\u200b, we multiply 78\\frac{7}{8}87\u200b by the reciprocal of 160\\frac{1}{60}601\u200b, which is 601\\frac{60}{1}160\u200b.78\u00d7601=7\u00d7608\u00d71=4208\\frac{7}{8} \\times \\frac{60}{1} = \\frac{7 \\times 60}{8 \\times 1} = \\frac{420}{8}87\u200b\u00d7160\u200b=8\u00d717\u00d760\u200b=8420\u200b<\/p>\n\n\n\n
Now, simplify 4208\\frac{420}{8}8420\u200b. Divide both the numerator and denominator by 4 (the greatest common divisor):4208=1052\\frac{420}{8} = \\frac{105}{2}8420\u200b=2105\u200b<\/p>\n\n\n\n
So, the result is 1052\\frac{105}{2}2105\u200b.<\/p>\n\n\n\n
To divide 16\\frac{1}{6}61\u200b by 512\\frac{5}{12}125\u200b, multiply 16\\frac{1}{6}61\u200b by the reciprocal of 512\\frac{5}{12}125\u200b, which is 125\\frac{12}{5}512\u200b.16\u00d7125=1\u00d7126\u00d75=1230\\frac{1}{6} \\times \\frac{12}{5} = \\frac{1 \\times 12}{6 \\times 5} = \\frac{12}{30}61\u200b\u00d7512\u200b=6\u00d751\u00d712\u200b=3012\u200b<\/p>\n\n\n\n
Simplify 1230\\frac{12}{30}3012\u200b by dividing both the numerator and denominator by 6:1230=25\\frac{12}{30} = \\frac{2}{5}3012\u200b=52\u200b<\/p>\n\n\n\n
So, the result is 25\\frac{2}{5}52\u200b.<\/p>\n\n\n\n
To divide 512\\frac{5}{12}125\u200b by 160\\frac{1}{60}601\u200b, multiply 512\\frac{5}{12}125\u200b by the reciprocal of 160\\frac{1}{60}601\u200b, which is 601\\frac{60}{1}160\u200b.512\u00d7601=5\u00d76012\u00d71=30012\\frac{5}{12} \\times \\frac{60}{1} = \\frac{5 \\times 60}{12 \\times 1} = \\frac{300}{12}125\u200b\u00d7160\u200b=12\u00d715\u00d760\u200b=12300\u200b<\/p>\n\n\n\n
Simplify 30012\\frac{300}{12}12300\u200b by dividing both the numerator and denominator by 12:30012=251=25\\frac{300}{12} = \\frac{25}{1} = 2512300\u200b=125\u200b=25<\/p>\n\n\n\n
To divide 125\\frac{12}{5}512\u200b by 16\\frac{1}{6}61\u200b, multiply 125\\frac{12}{5}512\u200b by the reciprocal of 16\\frac{1}{6}61\u200b, which is 61\\frac{6}{1}16\u200b.125\u00d761=12\u00d765\u00d71=725\\frac{12}{5} \\times \\frac{6}{1} = \\frac{12 \\times 6}{5 \\times 1} = \\frac{72}{5}512\u200b\u00d716\u200b=5\u00d7112\u00d76\u200b=572\u200b<\/p>\n\n\n\n
So, the result is 725\\frac{72}{5}572\u200b.<\/p>\n\n\n\n
The key to these problems is remembering that division of fractions involves multiplying by the reciprocal, which allows us to transform the division operation into a simple multiplication problem.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Find the quotient of the given fractions below with solutions: 1.) 7\/8 divided by 1\/60 2.) 1\/6 divided by 5\/12 3.) 5\/12 divided by 1\/60 4.) 12\/5 divided by 1\/6 The Correct Answer and Explanation is: Let’s work through the division of fractions step by step for each problem. The rule for dividing fractions is […]<\/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-45351","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45351","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=45351"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45351\/revisions"}],"predecessor-version":[{"id":45353,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45351\/revisions\/45353"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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