{"id":150209,"date":"2024-10-08T14:45:37","date_gmt":"2024-10-08T14:45:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150209"},"modified":"2024-10-08T14:45:40","modified_gmt":"2024-10-08T14:45:40","slug":"sixty-is-5-6-of-what-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/sixty-is-5-6-of-what-number\/","title":{"rendered":"Sixty is 5\/6 of what number"},"content":{"rendered":"\n<p>Sixty is 5\/6 of what number<\/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 correct answer is: <strong>72<\/strong>.<\/p>\n\n\n\n<p>To find out what number sixty is ( \\frac{5}{6} ) of, we can set up a simple equation. Let ( x ) be the unknown number. The relationship can be expressed as:<\/p>\n\n\n\n<p>[<br>\\frac{5}{6} x = 60<br>]<\/p>\n\n\n\n<p>To solve for ( x ), we need to isolate it on one side of the equation. We can do this by multiplying both sides by the reciprocal of ( \\frac{5}{6} ), which is ( \\frac{6}{5} ):<\/p>\n\n\n\n<p>[<br>x = 60 \\times \\frac{6}{5}<br>]<\/p>\n\n\n\n<p>Next, we perform the multiplication:<\/p>\n\n\n\n<p>[<br>x = 60 \\times \\frac{6}{5} = \\frac{60 \\times 6}{5}<br>]<\/p>\n\n\n\n<p>Calculating the numerator:<\/p>\n\n\n\n<p>[<br>60 \\times 6 = 360<br>]<\/p>\n\n\n\n<p>Now we divide this by 5:<\/p>\n\n\n\n<p>[<br>x = \\frac{360}{5} = 72<br>]<\/p>\n\n\n\n<p>Therefore, sixty is ( \\frac{5}{6} ) of <strong>72<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The solution process involves understanding the concept of fractions and their relationships to whole numbers. The fraction ( \\frac{5}{6} ) signifies that we are dealing with five parts out of a total of six. To find the whole number from which these parts are taken, we essentially reverse the operation implied by the fraction.<\/p>\n\n\n\n<p>When we set up the equation ( \\frac{5}{6} x = 60 ), it clearly states that if we take ( \\frac{5}{6} ) of some number ( x ), the result will be 60. By multiplying both sides of the equation by the reciprocal of ( \\frac{5}{6} ), we can effectively solve for ( x ).<\/p>\n\n\n\n<p>The use of reciprocals is a fundamental aspect of algebra. By multiplying by ( \\frac{6}{5} ), we counteract the ( \\frac{5}{6} ) on the left side, thus allowing us to solve for the unknown ( x ) easily.<\/p>\n\n\n\n<p>This method highlights the importance of understanding how to manipulate equations and fractions to isolate variables. In this case, we find that ( 72 ) is the complete whole number from which ( 60 ) is derived as ( \\frac{5}{6} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sixty is 5\/6 of what number The Correct Answer and Explanation is : The correct answer is: 72. To find out what number sixty is ( \\frac{5}{6} ) of, we can set up a simple equation. Let ( x ) be the unknown number. The relationship can be expressed as: [\\frac{5}{6} x = 60] To [&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-150209","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150209","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=150209"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150209\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}