{"id":270293,"date":"2025-07-25T06:05:29","date_gmt":"2025-07-25T06:05:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=270293"},"modified":"2025-07-25T06:05:31","modified_gmt":"2025-07-25T06:05:31","slug":"find-the-multiplicative-inverse-of-5-8-x-3-7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/25\/find-the-multiplicative-inverse-of-5-8-x-3-7\/","title":{"rendered":"Find the multiplicative inverse of \u2013 5\/8 \u00d7 \u2013 3\/7"},"content":{"rendered":"\n

Find the multiplicative inverse of \u2013 5\/8 \u00d7 \u2013 3\/7 . how to do this sum<\/p>\n\n\n\n

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

To find the multiplicative inverse of the expression (\u221258)\u00d7(\u221237)(- \\frac{5}{8}) \\times (- \\frac{3}{7})(\u221285\u200b)\u00d7(\u221273\u200b), we need to follow these steps:<\/p>\n\n\n\n

Step 1: Multiply the fractions<\/h3>\n\n\n\n

Start by multiplying the two fractions.(\u221258)\u00d7(\u221237)=\u22125\u00d7\u221238\u00d77=1556\\left( – \\frac{5}{8} \\right) \\times \\left( – \\frac{3}{7} \\right) = \\frac{-5 \\times -3}{8 \\times 7} = \\frac{15}{56}(\u221285\u200b)\u00d7(\u221273\u200b)=8\u00d77\u22125\u00d7\u22123\u200b=5615\u200b<\/p>\n\n\n\n

Notice that the negatives cancel out, leaving you with a positive result.<\/p>\n\n\n\n

Step 2: Find the multiplicative inverse<\/h3>\n\n\n\n

The multiplicative inverse<\/strong> of a number is the reciprocal of that number. For any fraction, the reciprocal is obtained by swapping the numerator and denominator.<\/p>\n\n\n\n

For 1556\\frac{15}{56}5615\u200b, its multiplicative inverse would be:Multiplicative Inverse of 1556=5615\\text{Multiplicative Inverse of } \\frac{15}{56} = \\frac{56}{15}Multiplicative Inverse of 5615\u200b=1556\u200b<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To understand this better, remember that the multiplicative inverse of a fraction ab\\frac{a}{b}ba\u200b is ba\\frac{b}{a}ab\u200b. This is because multiplying a number by its inverse always results in 1:ab\u00d7ba=1\\frac{a}{b} \\times \\frac{b}{a} = 1ba\u200b\u00d7ab\u200b=1<\/p>\n\n\n\n

In our case, multiplying 1556\\frac{15}{56}5615\u200b by its inverse 5615\\frac{56}{15}1556\u200b would give us:1556\u00d75615=1\\frac{15}{56} \\times \\frac{56}{15} = 15615\u200b\u00d71556\u200b=1<\/p>\n\n\n\n

Thus, the multiplicative inverse of (\u221258)\u00d7(\u221237)=1556(- \\frac{5}{8}) \\times (- \\frac{3}{7}) = \\frac{15}{56}(\u221285\u200b)\u00d7(\u221273\u200b)=5615\u200b is 5615\\frac{56}{15}1556\u200b.<\/p>\n\n\n\n

This process helps in finding the reciprocal when you’re working with fractions, and it’s a fundamental concept in solving equations involving fractions or performing operations like division.<\/p>\n\n\n\n

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

Find the multiplicative inverse of \u2013 5\/8 \u00d7 \u2013 3\/7 . how to do this sum The Correct Answer and Explanation is: To find the multiplicative inverse of the expression (\u221258)\u00d7(\u221237)(- \\frac{5}{8}) \\times (- \\frac{3}{7})(\u221285\u200b)\u00d7(\u221273\u200b), we need to follow these steps: Step 1: Multiply the fractions Start by multiplying the two fractions.(\u221258)\u00d7(\u221237)=\u22125\u00d7\u221238\u00d77=1556\\left( – \\frac{5}{8} \\right) […]<\/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-270293","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/270293","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=270293"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/270293\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=270293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=270293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=270293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}