{"id":261655,"date":"2025-07-20T07:33:27","date_gmt":"2025-07-20T07:33:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261655"},"modified":"2025-07-20T07:33:29","modified_gmt":"2025-07-20T07:33:29","slug":"what-is-6-7-divided-by-1-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/what-is-6-7-divided-by-1-2\/","title":{"rendered":"what is 6\/7 divided by 1\/2"},"content":{"rendered":"\n<p>what is 6\/7 divided by 1\/2 <\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve 67\u00f712\\frac{6}{7} \\div \\frac{1}{2}, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Change the division to multiplication<\/strong>:<br>When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 12\\frac{1}{2} is 21\\frac{2}{1}. So, the expression becomes: 67\u00d721\\frac{6}{7} \\times \\frac{2}{1}<\/li>\n\n\n\n<li><strong>Multiply the fractions<\/strong>:<br>Multiply the numerators (the top numbers) and the denominators (the bottom numbers): 6\u00d727\u00d71=127\\frac{6 \\times 2}{7 \\times 1} = \\frac{12}{7}<\/li>\n\n\n\n<li><strong>Simplify the fraction<\/strong> (if necessary):<br>In this case, 127\\frac{12}{7} is already in its simplest form, as 12 and 7 have no common factors other than 1.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the answer is 127\\frac{12}{7}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When dividing fractions, the key operation is changing division into multiplication by using the reciprocal of the second fraction. The reciprocal of 12\\frac{1}{2} is 21\\frac{2}{1}, and multiplying 67\\frac{6}{7} by 21\\frac{2}{1} gives the result 127\\frac{12}{7}. It\u2019s important to remember that multiplication of fractions follows the rule of multiplying numerators and denominators directly, which simplifies the operation compared to other forms of division.<\/p>\n\n\n\n<p>In cases where both the numerator and denominator have common factors, simplification can occur by dividing them by their greatest common divisor (GCD). However, for 127\\frac{12}{7}, no further simplification is needed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>what is 6\/7 divided by 1\/2 The correct answer and explanation is: To solve 67\u00f712\\frac{6}{7} \\div \\frac{1}{2}, follow these steps: Thus, the answer is 127\\frac{12}{7}. Explanation: When dividing fractions, the key operation is changing division into multiplication by using the reciprocal of the second fraction. The reciprocal of 12\\frac{1}{2} is 21\\frac{2}{1}, and multiplying 67\\frac{6}{7} by [&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-261655","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261655","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=261655"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261655\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261655"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}