{"id":239761,"date":"2025-07-03T04:48:12","date_gmt":"2025-07-03T04:48:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=239761"},"modified":"2025-07-03T04:48:14","modified_gmt":"2025-07-03T04:48:14","slug":"what-is-the-quotient-in-simplest-form-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/what-is-the-quotient-in-simplest-form-2\/","title":{"rendered":"What is the quotient in simplest form"},"content":{"rendered":"\n

What is the quotient in simplest form? 3\/4 divide by 5\/16 015\/64 015\/16 02 2\/5 0 2 8\/20<\/p>\n\n\n\n

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

To solve the division of fractions 34\u00f7516\\frac{3}{4} \\div \\frac{5}{16}43\u200b\u00f7165\u200b, we need to follow the steps for dividing fractions.<\/p>\n\n\n\n

Step 1: Understand the rule for dividing fractions<\/h3>\n\n\n\n

When dividing fractions, the rule is to multiply by the reciprocal<\/strong> of the second fraction. In this case, the reciprocal of 516\\frac{5}{16}165\u200b is 165\\frac{16}{5}516\u200b.<\/p>\n\n\n\n

So, the division problem 34\u00f7516\\frac{3}{4} \\div \\frac{5}{16}43\u200b\u00f7165\u200b becomes:34\u00d7165\\frac{3}{4} \\times \\frac{16}{5}43\u200b\u00d7516\u200b<\/p>\n\n\n\n

Step 2: Multiply the fractions<\/h3>\n\n\n\n

Now, multiply the numerators and the denominators:3\u00d7164\u00d75=4820\\frac{3 \\times 16}{4 \\times 5} = \\frac{48}{20}4\u00d753\u00d716\u200b=2048\u200b<\/p>\n\n\n\n

Step 3: Simplify the fraction<\/h3>\n\n\n\n

We now need to simplify 4820\\frac{48}{20}2048\u200b. To do this, find the greatest common divisor (GCD) of 48 and 20. The GCD of 48 and 20 is 4.<\/p>\n\n\n\n

Divide both the numerator and the denominator by 4:48\u00f7420\u00f74=125\\frac{48 \\div 4}{20 \\div 4} = \\frac{12}{5}20\u00f7448\u00f74\u200b=512\u200b<\/p>\n\n\n\n

Step 4: Final Answer<\/h3>\n\n\n\n

The quotient in simplest form is 125\\frac{12}{5}512\u200b, which is an improper fraction. If you prefer it as a mixed number, it would be:2252 \\frac{2}{5}252\u200b<\/p>\n\n\n\n

Explanation of the Process<\/h3>\n\n\n\n

Dividing fractions involves first converting the division operation into multiplication by using the reciprocal of the second fraction. After multiplying the fractions, we then simplify the resulting fraction by dividing both the numerator and denominator by their GCD. In this case, simplifying the fraction gives us the final answer 125\\frac{12}{5}512\u200b or 2252 \\frac{2}{5}252\u200b.<\/p>\n\n\n\n

Thus, the correct answer is 125\\frac{12}{5}512\u200b or 2252 \\frac{2}{5}252\u200b, and the other options like 15\/6415\/6415\/64, 15\/1615\/1615\/16, and 2 are incorrect.<\/p>\n\n\n\n

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

What is the quotient in simplest form? 3\/4 divide by 5\/16 015\/64 015\/16 02 2\/5 0 2 8\/20 The Correct Answer and Explanation is: To solve the division of fractions 34\u00f7516\\frac{3}{4} \\div \\frac{5}{16}43\u200b\u00f7165\u200b, we need to follow the steps for dividing fractions. Step 1: Understand the rule for dividing fractions When dividing fractions, the rule […]<\/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-239761","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239761","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=239761"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239761\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}