{"id":156959,"date":"2024-10-17T19:21:57","date_gmt":"2024-10-17T19:21:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156959"},"modified":"2024-10-17T19:22:00","modified_gmt":"2024-10-17T19:22:00","slug":"3-4-divided-by-12-as-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/3-4-divided-by-12-as-a-fraction\/","title":{"rendered":"3\/4 divided by 12 as a fraction"},"content":{"rendered":"\n<p>3\/4 divided by 12 as a fraction<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The fraction (\\frac{3}{4}) divided by 12 can be solved as follows:<\/p>\n\n\n\n<p>[<br>\\frac{3}{4} \\div 12<br>]<\/p>\n\n\n\n<p>Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 12 is (\\frac{1}{12}). So, we can rewrite the expression as:<\/p>\n\n\n\n<p>[<br>\\frac{3}{4} \\times \\frac{1}{12}<br>]<\/p>\n\n\n\n<p>Now, multiply the numerators (top numbers) and the denominators (bottom numbers):<\/p>\n\n\n\n<p>[<br>\\frac{3 \\times 1}{4 \\times 12} = \\frac{3}{48}<br>]<\/p>\n\n\n\n<p>Next, simplify (\\frac{3}{48}) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:<\/p>\n\n\n\n<p>[<br>\\frac{3 \\div 3}{48 \\div 3} = \\frac{1}{16}<br>]<\/p>\n\n\n\n<p>So, (\\frac{3}{4} \\div 12 = \\frac{1}{16}).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Dividing fractions or whole numbers involves understanding the relationship between division and multiplication. When you divide by a number, you can instead multiply by its reciprocal, which is simply flipping the numerator and denominator of that number (or turning a whole number like 12 into the fraction (\\frac{1}{12})).<\/p>\n\n\n\n<p>In this case, (\\frac{3}{4}) is the fraction being divided by 12. Since dividing by 12 is the same as multiplying by (\\frac{1}{12}), we convert the division into a multiplication problem. Multiplying fractions is straightforward: you multiply across the numerators and across the denominators.<\/p>\n\n\n\n<p>Finally, we simplify the resulting fraction (\\frac{3}{48}). The greatest common divisor of 3 and 48 is 3, so we divide both by 3 to get (\\frac{1}{16}).<\/p>\n\n\n\n<p>This solution highlights how fraction division and multiplication are closely related and how simplifying the final fraction leads to the correct and simplest answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3\/4 divided by 12 as a fraction The Correct Answer and Explanation is : The fraction (\\frac{3}{4}) divided by 12 can be solved as follows: [\\frac{3}{4} \\div 12] Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 12 is (\\frac{1}{12}). So, we can rewrite the expression as: [\\frac{3}{4} \\times [&hellip;]<\/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-156959","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156959","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=156959"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156959\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}