{"id":158259,"date":"2024-10-27T22:05:47","date_gmt":"2024-10-27T22:05:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=158259"},"modified":"2024-10-27T22:05:50","modified_gmt":"2024-10-27T22:05:50","slug":"what-is-the-missing-number-7-8-48","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/27\/what-is-the-missing-number-7-8-48\/","title":{"rendered":"What is the missing number 7\/8 = ?\/48"},"content":{"rendered":"\n<p>What is the missing number 7\/8 = ?\/48<\/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 find the missing number in the equation ( \\frac{7}{8} = \\frac{?}{48} ), we can use the concept of cross-multiplication. This method helps us find equivalent fractions by cross-multiplying the terms in the fractions.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set Up the Equation<\/strong>: We start with the equation:<br>[<br>\\frac{7}{8} = \\frac{x}{48}<br>]<br>where ( x ) is the missing number we need to find.<\/li>\n\n\n\n<li><strong>Cross-Multiply<\/strong>: Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. Thus, we perform the following multiplication:<br>[<br>7 \\times 48 = 8 \\times x<br>]<\/li>\n\n\n\n<li><strong>Calculate the Left Side<\/strong>: Now calculate ( 7 \\times 48 ):<br>[<br>7 \\times 48 = 336<br>]<\/li>\n\n\n\n<li><strong>Set Up the Equation<\/strong>: We can now rewrite our equation as:<br>[<br>336 = 8x<br>]<\/li>\n\n\n\n<li><strong>Solve for ( x )<\/strong>: To isolate ( x ), divide both sides of the equation by 8:<br>[<br>x = \\frac{336}{8}<br>]<\/li>\n\n\n\n<li><strong>Calculate ( x )<\/strong>: Now perform the division:<br>[<br>x = 42<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The missing number is ( 42 ). Thus, the equation ( \\frac{7}{8} = \\frac{42}{48} ) holds true.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Verification:<\/h3>\n\n\n\n<p>To confirm that ( \\frac{42}{48} ) is equivalent to ( \\frac{7}{8} ), we can simplify ( \\frac{42}{48} ):<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find the GCD<\/strong>: The greatest common divisor (GCD) of 42 and 48 is 6.<\/li>\n\n\n\n<li><strong>Divide Numerator and Denominator by GCD<\/strong>:<br>[<br>\\frac{42 \\div 6}{48 \\div 6} = \\frac{7}{8}<br>]<\/li>\n<\/ol>\n\n\n\n<p>This verifies that both fractions are indeed equivalent, confirming that our solution is correct. Understanding how to manipulate fractions through cross-multiplication and simplification is a crucial skill in mathematics, allowing us to solve various proportion problems effectively.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the missing number 7\/8 = ?\/48 The Correct Answer and Explanation is: To find the missing number in the equation ( \\frac{7}{8} = \\frac{?}{48} ), we can use the concept of cross-multiplication. This method helps us find equivalent fractions by cross-multiplying the terms in the fractions. Step-by-Step Solution: Conclusion: The missing number is [&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-158259","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158259","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=158259"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158259\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158259"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}