{"id":167833,"date":"2024-11-16T09:01:08","date_gmt":"2024-11-16T09:01:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167833"},"modified":"2024-11-16T09:01:08","modified_gmt":"2024-11-16T09:01:08","slug":"what-is-1-4-divided-by-7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/what-is-1-4-divided-by-7\/","title":{"rendered":"What is 1\/4 divided by 7"},"content":{"rendered":"\n<p>What is 1\/4 divided by 7<\/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 problem ( \\frac{1}{4} \\div 7 ), let&#8217;s break it down step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Rewrite the Division as Multiplication<\/h3>\n\n\n\n<p>When dividing fractions, it\u2019s often easier to convert the division into multiplication by the reciprocal of the divisor. The divisor here is 7, which can be written as a fraction, ( \\frac{7}{1} ).<\/p>\n\n\n\n<p>So, the division problem ( \\frac{1}{4} \\div 7 ) can be rewritten as:<br>[<br>\\frac{1}{4} \\div 7 = \\frac{1}{4} \\times \\frac{1}{7}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the Fractions<\/h3>\n\n\n\n<p>Now that we\u2019ve turned the division into multiplication, we can multiply the two fractions. When multiplying fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:<\/p>\n\n\n\n<p>[<br>\\frac{1}{4} \\times \\frac{1}{7} = \\frac{1 \\times 1}{4 \\times 7} = \\frac{1}{28}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Final Answer<\/h3>\n\n\n\n<p>So, the result of ( \\frac{1}{4} \\div 7 ) is ( \\frac{1}{28} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Division of Fractions<\/strong>: Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is simply swapping the numerator and the denominator. In this case, dividing by 7 is the same as multiplying by ( \\frac{1}{7} ).<\/li>\n\n\n\n<li><strong>Why Multiply Instead of Divide<\/strong>: Division of fractions is often confusing because of the need to flip the divisor. By converting the division into a multiplication problem, we can simplify the calculation process and make it easier to understand.<\/li>\n\n\n\n<li><strong>Multiplication of Fractions<\/strong>: The multiplication rule for fractions is straightforward. You multiply the numerators and the denominators to get the new fraction. In this case, multiplying the numerators gives 1, and multiplying the denominators gives 28, resulting in ( \\frac{1}{28} ).<\/li>\n<\/ul>\n\n\n\n<p>Thus, ( \\frac{1}{4} \\div 7 = \\frac{1}{28} ). This shows how understanding the process of reciprocal multiplication can simplify fraction division.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is 1\/4 divided by 7 The Correct Answer and Explanation is: To solve the problem ( \\frac{1}{4} \\div 7 ), let&#8217;s break it down step by step. Step 1: Rewrite the Division as Multiplication When dividing fractions, it\u2019s often easier to convert the division into multiplication by the reciprocal of the divisor. The divisor [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","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-167833","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167833","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=167833"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167833\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}