What is 4 1\/2 divided by 3\/4??<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the problem of dividing ( 4 \\frac{1}{2} ) by ( \\frac{3}{4} ), we first need to convert the mixed number ( 4 \\frac{1}{2} ) into an improper fraction.<\/p>\n\n\n\n A mixed number consists of a whole number and a fraction. To convert ( 4 \\frac{1}{2} ):<\/p>\n\n\n\n Now, we can rewrite the division problem:<\/p>\n\n\n\n [ To divide by a fraction, we multiply by its reciprocal. The reciprocal of ( \\frac{3}{4} ) is ( \\frac{4}{3} ). Thus, the problem becomes:<\/p>\n\n\n\n [ Now we can multiply the fractions:<\/p>\n\n\n\n So, we have:<\/p>\n\n\n\n [ Now, we simplify ( \\frac{36}{6} ):<\/p>\n\n\n\n [ Thus, ( 4 \\frac{1}{2} \\div \\frac{3}{4} = 6 ).<\/p>\n\n\n\n Dividing mixed numbers and fractions involves converting the mixed number to an improper fraction, changing the division to multiplication by using the reciprocal, and simplifying the resulting fraction. Understanding these steps is crucial for effectively solving similar problems in mathematics.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 4 1\/2 divided by 3\/4?? The Correct Answer and Explanation is : To solve the problem of dividing ( 4 \\frac{1}{2} ) by ( \\frac{3}{4} ), we first need to convert the mixed number ( 4 \\frac{1}{2} ) into an improper fraction. Step 1: Convert the Mixed Number A mixed number consists 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-146917","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146917","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=146917"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146917\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146917"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146917"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146917"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert the Mixed Number<\/h3>\n\n\n\n
\n
( 4 \\times 2 = 8 ).<\/li>\n\n\n\n
( 8 + 1 = 9 ).<\/li>\n\n\n\n
( 4 \\frac{1}{2} = \\frac{9}{2} ).<\/li>\n<\/ol>\n\n\n\nStep 2: Set Up the Division Problem<\/h3>\n\n\n\n
\\frac{9}{2} \\div \\frac{3}{4}
]<\/p>\n\n\n\nStep 3: Convert Division to Multiplication<\/h3>\n\n\n\n
\\frac{9}{2} \\times \\frac{4}{3}
]<\/p>\n\n\n\nStep 4: Multiply the Fractions<\/h3>\n\n\n\n
\n
( 9 \\times 4 = 36 ).<\/li>\n\n\n\n
( 2 \\times 3 = 6 ).<\/li>\n<\/ol>\n\n\n\n
\\frac{36}{6}
]<\/p>\n\n\n\nStep 5: Simplify the Result<\/h3>\n\n\n\n
\\frac{36}{6} = 6
]<\/p>\n\n\n\nFinal Answer<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n