Let’s break down the division problem: 612\u00f714\\frac{6}{12} \\div \\frac{1}{4}126\u200b\u00f741\u200b.<\/p>\n\n\n\n
Step 1: Understand the Problem<\/h3>\n\n\n\n
The problem asks us to divide a fraction by another fraction. The general rule for dividing fractions is: Divide=Multiply by the reciprocal.\\text{Divide} = \\text{Multiply by the reciprocal}.Divide=Multiply by the reciprocal.<\/p>\n\n\n\n
In other words, we turn the second fraction (the divisor) upside down (find its reciprocal) and then multiply.<\/p>\n\n\n\n
Step 2: Find the Reciprocal of 14\\frac{1}{4}41\u200b<\/h3>\n\n\n\n
The reciprocal of 14\\frac{1}{4}41\u200b is 41\\frac{4}{1}14\u200b.<\/p>\n\n\n\n
Step 3: Set Up the Multiplication<\/h3>\n\n\n\n
Now we will multiply 612\\frac{6}{12}126\u200b by 41\\frac{4}{1}14\u200b: 612\u00d741\\frac{6}{12} \\times \\frac{4}{1}126\u200b\u00d714\u200b<\/p>\n\n\n\n
Step 4: Multiply the Fractions<\/h3>\n\n\n\n
To multiply fractions, you multiply the numerators (the top numbers) and the denominators (the bottom numbers). 6\u00d7412\u00d71=2412\\frac{6 \\times 4}{12 \\times 1} = \\frac{24}{12}12\u00d716\u00d74\u200b=1224\u200b<\/p>\n\n\n\n
Step 5: Simplify the Fraction<\/h3>\n\n\n\n
Now, simplify 2412\\frac{24}{12}1224\u200b: 2412=2\\frac{24}{12} = 21224\u200b=2<\/p>\n\n\n\n
Final Answer<\/h3>\n\n\n\n
So, 612\u00f714=2\\frac{6}{12} \\div \\frac{1}{4} = 2126\u200b\u00f741\u200b=2.<\/p>\n\n\n\n
\n\n\n\n
Explanation<\/h3>\n\n\n\n
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, we turned 14\\frac{1}{4}41\u200b into 41\\frac{4}{1}14\u200b and multiplied it by 612\\frac{6}{12}126\u200b.<\/p>\n\n\n\n
After multiplying, we got 2412\\frac{24}{12}1224\u200b, which simplifies to 222. This method of multiplying by the reciprocal is key when dividing fractions, and it’s a rule that works for all fraction division problems.<\/p>\n\n\n\n Draw a model to represent the problem 6\/12 divided by 1\/4 The Correct Answer and Explanation is: Let’s break down the division problem: 612\u00f714\\frac{6}{12} \\div \\frac{1}{4}126\u200b\u00f741\u200b. Step 1: Understand the Problem The problem asks us to divide a fraction by another fraction. The general rule for dividing fractions is: Divide=Multiply by the reciprocal.\\text{Divide} = \\text{Multiply by the reciprocal}.Divide=Multiply by the reciprocal. […]<\/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-239730","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239730","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=239730"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239730\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239730"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239730"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-64.jpeg\")
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