{"id":255479,"date":"2025-07-13T04:48:39","date_gmt":"2025-07-13T04:48:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255479"},"modified":"2025-07-13T04:48:41","modified_gmt":"2025-07-13T04:48:41","slug":"the-reciprocal-of-3-1-5-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/the-reciprocal-of-3-1-5-is\/","title":{"rendered":"The reciprocal of 3 &#8211; 1\/5 is"},"content":{"rendered":"\n<p>The reciprocal of 3 &#8211; 1\/5 is<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The reciprocal of a number is simply 1 divided by that number. To find the reciprocal of 3\u2212153 &#8211; \\frac{1}{5}3\u221251\u200b, we first need to express the given expression as a single fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplify the expression<\/h3>\n\n\n\n<p>Start by converting the mixed number 3\u2212153 &#8211; \\frac{1}{5}3\u221251\u200b into an improper fraction. To do this: 3=1553 = \\frac{15}{5}3=515\u200b<\/p>\n\n\n\n<p>So, 3\u221215=155\u221215=15\u221215=1453 &#8211; \\frac{1}{5} = \\frac{15}{5} &#8211; \\frac{1}{5} = \\frac{15 &#8211; 1}{5} = \\frac{14}{5}3\u221251\u200b=515\u200b\u221251\u200b=515\u22121\u200b=514\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the reciprocal<\/h3>\n\n\n\n<p>Now that we have 145\\frac{14}{5}514\u200b, the reciprocal is simply 514\\frac{5}{14}145\u200b, as we take the numerator and denominator and swap them.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Conclusion<\/h3>\n\n\n\n<p>Therefore, the reciprocal of 3\u2212153 &#8211; \\frac{1}{5}3\u221251\u200b is: 514\\frac{5}{14}145\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The process of finding the reciprocal involves two steps. First, you simplify the given expression if it\u2019s a mixed number or fraction. Then, you take the reciprocal, which is equivalent to taking the inverse of that number. This concept is essential in many areas of mathematics, particularly when dealing with division or solving equations involving fractions. It also comes in handy when you work with rates, proportions, or any context where multiplication by a fraction is required<\/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-banner9-169.jpeg\" alt=\"\" class=\"wp-image-255480\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The reciprocal of 3 &#8211; 1\/5 is The Correct Answer and Explanation is: The reciprocal of a number is simply 1 divided by that number. To find the reciprocal of 3\u2212153 &#8211; \\frac{1}{5}3\u221251\u200b, we first need to express the given expression as a single fraction. Step 1: Simplify the expression Start by converting the mixed [&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-255479","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255479","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=255479"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255479\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}