{"id":153574,"date":"2024-10-13T06:53:52","date_gmt":"2024-10-13T06:53:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=153574"},"modified":"2024-10-13T06:53:54","modified_gmt":"2024-10-13T06:53:54","slug":"what-is-the-simplest-form-of-1-6-divided-by-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/13\/what-is-the-simplest-form-of-1-6-divided-by-2\/","title":{"rendered":"What is the simplest form of 1\/6 divided by 2"},"content":{"rendered":"\n<p>What is the simplest form of 1\/6 divided by 2<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To simplify ( \\frac{1}{6} \\div 2 ), we first need to understand the operation of division with fractions. When dividing a fraction by a whole number, we can convert the whole number into a fraction.<\/p>\n\n\n\n<p>In this case, we can express 2 as a fraction:<\/p>\n\n\n\n<p>[<br>2 = \\frac{2}{1}<br>]<\/p>\n\n\n\n<p>Now we rewrite the division of fractions as a multiplication of the first fraction by the reciprocal of the second fraction:<\/p>\n\n\n\n<p>[<br>\\frac{1}{6} \\div 2 = \\frac{1}{6} \\times \\frac{1}{2}<br>]<\/p>\n\n\n\n<p>Next, we multiply the numerators together and the denominators together:<\/p>\n\n\n\n<p>[<br>\\frac{1 \\times 1}{6 \\times 2} = \\frac{1}{12}<br>]<\/p>\n\n\n\n<p>Thus, the simplest form of ( \\frac{1}{6} \\div 2 ) is ( \\frac{1}{12} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Fractions and Division<\/strong>: A fraction represents a part of a whole. The division of fractions can be thought of as asking how many times the divisor (in this case, 2) fits into the dividend (which is ( \\frac{1}{6} )). Instead of directly dividing, we multiply by the reciprocal.<\/li>\n\n\n\n<li><strong>Reciprocal<\/strong>: The reciprocal of a fraction is obtained by swapping its numerator and denominator. For a whole number, like 2, its reciprocal is ( \\frac{1}{2} ).<\/li>\n\n\n\n<li><strong>Multiplication of Fractions<\/strong>: When multiplying fractions, the operation is straightforward. You simply multiply the numerators together and the denominators together, which allows us to find the product directly.<\/li>\n\n\n\n<li><strong>Final Result<\/strong>: After performing the multiplication, we arrive at the simplified fraction ( \\frac{1}{12} ). This result indicates that if you have one-sixth of something and you want to divide it into two equal parts, each part will be one-twelfth of the whole.<\/li>\n<\/ol>\n\n\n\n<p>In summary, dividing a fraction by a whole number involves converting the whole number into a fraction and then using multiplication with its reciprocal, leading to a simplified result of ( \\frac{1}{12} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the simplest form of 1\/6 divided by 2 The Correct Answer and Explanation is : To simplify ( \\frac{1}{6} \\div 2 ), we first need to understand the operation of division with fractions. When dividing a fraction by a whole number, we can convert the whole number into a fraction. In this case, [&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-153574","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153574","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=153574"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153574\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=153574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=153574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=153574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}