Find the quotient 3\/4 divided by 1\/3 =<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: ( 2 \\frac{1}{4} )<\/strong><\/mark><\/p>\n\n\n\n To find the quotient of ( \\frac{3}{4} ) divided by ( \\frac{1}{3} ), we can rewrite the division of fractions as multiplication by the reciprocal of the second fraction. The reciprocal of ( \\frac{1}{3} ) is ( \\frac{3}{1} ). Therefore, the expression can be rewritten as:<\/p>\n\n\n\n [ Next, we multiply the numerators and the denominators:<\/p>\n\n\n\n [ So, the quotient of ( \\frac{3}{4} \\div \\frac{1}{3} ) is ( \\frac{9}{4} ), which can also be expressed as a mixed number:<\/p>\n\n\n\n [ Dividing fractions might seem a bit tricky at first, but it can be easily understood by remembering the rule of multiplying by the reciprocal. The reciprocal of a fraction is simply flipping the numerator and denominator. For example, the reciprocal of ( \\frac{1}{3} ) is ( \\frac{3}{1} ) because ( 1 ) becomes the denominator and ( 3 ) becomes the numerator.<\/p>\n\n\n\n When we multiply two fractions, we multiply the numerators together and the denominators together. In our example, we multiplied ( 3 ) (the numerator of the first fraction) by ( 3 ) (the numerator of the second fraction) to get ( 9 ), and we multiplied ( 4 ) (the denominator of the first fraction) by ( 1 ) (the denominator of the second fraction) to get ( 4 ).<\/p>\n\n\n\n The result ( \\frac{9}{4} ) is an improper fraction, meaning the numerator is larger than the denominator. This fraction can be converted into a mixed number, which is often easier to understand. We divide ( 9 ) by ( 4 ) to find that it goes ( 2 ) times, with a remainder of ( 1 ). Therefore, ( \\frac{9}{4} ) can also be expressed as ( 2 \\frac{1}{4} ).<\/p>\n\n\n\n This process illustrates how division of fractions works, and understanding it is fundamental in many areas of mathematics.<\/p>\n","protected":false},"excerpt":{"rendered":" Find the quotient 3\/4 divided by 1\/3 = The Correct Answer and Explanation is : The correct answer is: ( 2 \\frac{1}{4} ) To find the quotient of ( \\frac{3}{4} ) divided by ( \\frac{1}{3} ), we can rewrite the division of fractions as multiplication by the reciprocal of the second fraction. The reciprocal of […]<\/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-151473","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151473","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=151473"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151473\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151473"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151473"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151473"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{3}{4} \\div \\frac{1}{3} = \\frac{3}{4} \\times \\frac{3}{1}
]<\/p>\n\n\n\n
\\frac{3 \\times 3}{4 \\times 1} = \\frac{9}{4}
]<\/p>\n\n\n\n
\\frac{9}{4} = 2 \\frac{1}{4}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n