{"id":168451,"date":"2024-11-17T14:55:49","date_gmt":"2024-11-17T14:55:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168451"},"modified":"2024-11-17T14:55:51","modified_gmt":"2024-11-17T14:55:51","slug":"2-divided-by-5-12-in-fraction-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/17\/2-divided-by-5-12-in-fraction-form\/","title":{"rendered":"2 divided by 5\/12 in fraction form"},"content":{"rendered":"\n<p>2 divided by 5\/12 in fraction form<\/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 solve the expression ( \\frac{2}{\\frac{5}{12}} ), we follow a process of dividing by a fraction, which is equivalent to multiplying by the reciprocal of that fraction.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the problem<\/h3>\n\n\n\n<p>The problem asks us to divide 2 by the fraction ( \\frac{5}{12} ). To divide by a fraction, we multiply by its reciprocal (the fraction flipped upside down).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the reciprocal<\/h3>\n\n\n\n<p>The reciprocal of ( \\frac{5}{12} ) is ( \\frac{12}{5} ). So, the division becomes:<\/p>\n\n\n\n<p>[<br>\\frac{2}{\\frac{5}{12}} = 2 \\times \\frac{12}{5}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the whole number by the fraction<\/h3>\n\n\n\n<p>To multiply a whole number by a fraction, we can write the whole number as a fraction with a denominator of 1. Thus, we rewrite 2 as ( \\frac{2}{1} ) and then multiply:<\/p>\n\n\n\n<p>[<br>\\frac{2}{1} \\times \\frac{12}{5} = \\frac{2 \\times 12}{1 \\times 5} = \\frac{24}{5}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify if necessary<\/h3>\n\n\n\n<p>The fraction ( \\frac{24}{5} ) is already in its simplest form because 24 and 5 have no common factors other than 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Final Answer<\/h3>\n\n\n\n<p>Thus, ( \\frac{2}{\\frac{5}{12}} = \\frac{24}{5} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When dividing by a fraction, the rule is to multiply by the reciprocal of the fraction. This is based on the principle that dividing by a number is the same as multiplying by its inverse. For example, when dividing ( \\frac{2}{\\frac{5}{12}} ), we are essentially finding how many times ( \\frac{5}{12} ) fits into 2. By converting the division into a multiplication problem, we make the computation straightforward, ensuring the process is accurate and efficient. The final fraction ( \\frac{24}{5} ) represents the result of this multiplication, which shows the equivalent value of the original division.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 divided by 5\/12 in fraction form The Correct Answer and Explanation is: To solve the expression ( \\frac{2}{\\frac{5}{12}} ), we follow a process of dividing by a fraction, which is equivalent to multiplying by the reciprocal of that fraction. Step 1: Understand the problem The problem asks us to divide 2 by the fraction [&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-168451","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168451","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=168451"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168451\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}