{"id":270359,"date":"2025-07-25T06:36:44","date_gmt":"2025-07-25T06:36:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=270359"},"modified":"2025-07-25T06:36:45","modified_gmt":"2025-07-25T06:36:45","slug":"find-the-multiplicative-inverse-of-5-8-x-3-7-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/25\/find-the-multiplicative-inverse-of-5-8-x-3-7-2\/","title":{"rendered":"Find the multiplicative inverse of \u2013 5\/8 \u00d7 \u2013 3\/7"},"content":{"rendered":"\n<p>Find the multiplicative inverse of \u2013 5\/8 \u00d7 \u2013 3\/7 . how to do this sum<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the multiplicative inverse of the product of \u221258\u00d7\u221237-\\frac{5}{8} \\times -\\frac{3}{7}\u221285\u200b\u00d7\u221273\u200b, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Multiply the fractions<\/h3>\n\n\n\n<p>First, we need to multiply the two fractions. Multiply the numerators and the denominators:\u221258\u00d7\u221237=(\u22125)\u00d7(\u22123)8\u00d77=1556\\frac{-5}{8} \\times \\frac{-3}{7} = \\frac{(-5) \\times (-3)}{8 \\times 7} = \\frac{15}{56}8\u22125\u200b\u00d77\u22123\u200b=8\u00d77(\u22125)\u00d7(\u22123)\u200b=5615\u200b<\/p>\n\n\n\n<p>So, the result of \u221258\u00d7\u221237-\\frac{5}{8} \\times -\\frac{3}{7}\u221285\u200b\u00d7\u221273\u200b is 1556\\frac{15}{56}5615\u200b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the multiplicative inverse<\/h3>\n\n\n\n<p>The multiplicative inverse of a fraction is obtained by swapping its numerator and denominator. The multiplicative inverse of 1556\\frac{15}{56}5615\u200b is:5615\\frac{56}{15}1556\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The multiplicative inverse is a concept that refers to the reciprocal of a number. For fractions, the multiplicative inverse is found by swapping the numerator and the denominator. When you multiply a number by its multiplicative inverse, the result is 1, because:ab\u00d7ba=1\\frac{a}{b} \\times \\frac{b}{a} = 1ba\u200b\u00d7ab\u200b=1<\/p>\n\n\n\n<p>In this case, after multiplying the fractions \u221258-\\frac{5}{8}\u221285\u200b and \u221237-\\frac{3}{7}\u221273\u200b, you get a positive fraction 1556\\frac{15}{56}5615\u200b, and the multiplicative inverse of this fraction is 5615\\frac{56}{15}1556\u200b.<\/p>\n\n\n\n<p>In summary, the multiplicative inverse of \u221258\u00d7\u221237-\\frac{5}{8} \\times -\\frac{3}{7}\u221285\u200b\u00d7\u221273\u200b is 5615\\frac{56}{15}1556\u200b.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1947.jpeg\" alt=\"\" class=\"wp-image-270360\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>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 product of \u221258\u00d7\u221237-\\frac{5}{8} \\times -\\frac{3}{7}\u221285\u200b\u00d7\u221273\u200b, follow these steps: Step 1: Multiply the fractions First, we need to multiply the two fractions. Multiply the numerators and the [&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-270359","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/270359","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=270359"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/270359\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=270359"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=270359"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=270359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}