what is the reciprocal of 8\/5?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The reciprocal of a fraction is obtained by swapping its numerator and denominator. Therefore, the reciprocal of ( \\frac{8}{5} ) is ( \\frac{5}{8} ).<\/p>\n\n\n\n To understand the concept of reciprocals, let\u2019s break it down further. A reciprocal is a value that, when multiplied by the original number, gives the product of 1. For any non-zero number ( x ), the reciprocal is represented as ( \\frac{1}{x} ). When dealing with fractions, the reciprocal is specifically obtained by flipping the fraction.<\/p>\n\n\n\n For example, the fraction ( \\frac{8}{5} ) consists of a numerator (the top part of the fraction) and a denominator (the bottom part). In this case, 8 is the numerator and 5 is the denominator. When we take the reciprocal of ( \\frac{8}{5} ), we switch these two parts, leading us to ( \\frac{5}{8} ).<\/p>\n\n\n\n Reciprocals are particularly useful in various mathematical operations, especially in division. Dividing by a fraction is equivalent to multiplying by its reciprocal. For instance, if you have a division problem such as ( \\frac{a}{\\frac{8}{5}} ), you can rewrite it as ( a \\times \\frac{5}{8} ). This simplification often makes calculations easier and more manageable.<\/p>\n\n\n\n Reciprocals also appear in different areas of mathematics, such as algebra, where they can help solve equations. For example, if you need to solve for ( x ) in an equation like ( \\frac{8}{5}x = 10 ), you can multiply both sides by the reciprocal of ( \\frac{8}{5} ), which is ( \\frac{5}{8} ). This operation will isolate ( x ) and allow you to solve for it effectively.<\/p>\n\n\n\n In conclusion, the reciprocal of ( \\frac{8}{5} ) is ( \\frac{5}{8} ), and understanding how to find and use reciprocals is an essential skill in mathematics.<\/p>\n","protected":false},"excerpt":{"rendered":" what is the reciprocal of 8\/5? The Correct Answer and Explanation is : The reciprocal of a fraction is obtained by swapping its numerator and denominator. Therefore, the reciprocal of ( \\frac{8}{5} ) is ( \\frac{5}{8} ). Explanation To understand the concept of reciprocals, let\u2019s break it down further. A reciprocal is a value that, […]<\/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-159826","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159826","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=159826"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159826\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation<\/h3>\n\n\n\n