{"id":149878,"date":"2024-10-08T04:36:36","date_gmt":"2024-10-08T04:36:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149878"},"modified":"2024-10-08T04:36:38","modified_gmt":"2024-10-08T04:36:38","slug":"1-8-divided-by-3-4-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/1-8-divided-by-3-4-in-simplest-form\/","title":{"rendered":"1\/8 divided by 3\/4 in simplest form"},"content":{"rendered":"\n<p>1\/8 divided by 3\/4 in simplest form<\/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>The correct answer is: <strong>( \\frac{1}{6} )<\/strong><\/p>\n\n\n\n<p>To divide fractions, you multiply by the reciprocal (inverse) of the second fraction. Here\u2019s how you do it:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Write the problem:<br>( \\frac{1}{8} \\div \\frac{3}{4} )<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Change the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of ( \\frac{3}{4} ) is ( \\frac{4}{3} ). ( \\frac{1}{8} \\times \\frac{4}{3} )<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Multiply the numerators (top numbers) and the denominators (bottom numbers):<br>Numerator: ( 1 \\times 4 = 4 )<br>Denominator: ( 8 \\times 3 = 24 ) So, ( \\frac{1}{8} \\div \\frac{3}{4} ) becomes ( \\frac{4}{24} ).<\/li>\n\n\n\n<li><strong>Step 4<\/strong>: Simplify the fraction ( \\frac{4}{24} ).<br>Both the numerator and the denominator can be divided by 4 (the greatest common factor): ( \\frac{4}{24} = \\frac{4 \\div 4}{24 \\div 4} = \\frac{1}{6} ). Therefore, the simplest form of ( \\frac{1}{8} \\div \\frac{3}{4} ) is <strong>( \\frac{1}{6} )<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Dividing fractions can be confusing at first, but it follows a simple rule: multiply by the reciprocal of the divisor (the second fraction). The reciprocal is obtained by flipping the fraction (interchanging its numerator and denominator).<\/p>\n\n\n\n<p>In this example, you start with ( \\frac{1}{8} ) divided by ( \\frac{3}{4} ). When you divide fractions, you multiply the first fraction by the reciprocal of the second. By flipping ( \\frac{3}{4} ) to ( \\frac{4}{3} ), the division becomes a multiplication problem.<\/p>\n\n\n\n<p>Multiplying two fractions is straightforward: multiply the numerators and then the denominators. After this step, you simplify the result by dividing both the numerator and the denominator by their greatest common factor, yielding the answer ( \\frac{1}{6} ).<\/p>\n\n\n\n<p>This approach works for any fraction division problem. Understanding the reciprocal method ensures you can handle more complex fraction operations with confidence.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1\/8 divided by 3\/4 in simplest form The Correct answer and Explanation is : The correct answer is: ( \\frac{1}{6} ) To divide fractions, you multiply by the reciprocal (inverse) of the second fraction. Here\u2019s how you do it: Step-by-Step Solution: Explanation: Dividing fractions can be confusing at first, but it follows a simple rule: [&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-149878","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149878","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=149878"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149878\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}