5 2\/3 divided by 4 in fraction<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the problem ( 5 \\frac{2}{3} \\div 4 ), we need to follow a few steps involving fraction operations. Let\u2019s break down the solution:<\/p>\n\n\n\n A mixed number, like ( 5 \\frac{2}{3} ), consists of a whole number part and a fractional part. To convert it to an improper fraction, we multiply the whole number by the denominator of the fractional part, and then add the numerator of the fraction. Here’s how we do it:<\/p>\n\n\n\n [ So, ( 5 \\frac{2}{3} ) becomes ( \\frac{17}{3} ).<\/p>\n\n\n\n Now, we need to divide ( \\frac{17}{3} ) by 4. To divide by a whole number, we multiply by the reciprocal of the whole number. The reciprocal of 4 is ( \\frac{1}{4} ), so we rewrite the division as multiplication:<\/p>\n\n\n\n [ To multiply fractions, we multiply the numerators and the denominators:<\/p>\n\n\n\n [ The fraction ( \\frac{17}{12} ) is already in its simplest form, as 17 is a prime number and does not share any factors with 12.<\/p>\n\n\n\n The result of ( 5 \\frac{2}{3} \\div 4 ) is ( \\frac{17}{12} ).<\/p>\n\n\n\n When dividing fractions or mixed numbers, it\u2019s essential to first convert mixed numbers to improper fractions. Then, dividing by a whole number can be done by multiplying by the reciprocal of that number. Finally, we perform the multiplication step and simplify the result if needed. The answer, ( \\frac{17}{12} ), is an improper fraction that shows the division result in a precise fractional form. This method ensures that we apply correct fraction operations to handle the division of a mixed number by a whole number.<\/p>\n","protected":false},"excerpt":{"rendered":" 5 2\/3 divided by 4 in fraction The Correct Answer and Explanation is: To solve the problem ( 5 \\frac{2}{3} \\div 4 ), we need to follow a few steps involving fraction operations. Let\u2019s break down the solution: Step 1: Convert the mixed number to an improper fraction A mixed number, like ( 5 \\frac{2}{3} […]<\/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-164733","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164733","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=164733"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164733\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Convert the mixed number to an improper fraction<\/h3>\n\n\n\n
5 \\frac{2}{3} = \\frac{(5 \\times 3) + 2}{3} = \\frac{15 + 2}{3} = \\frac{17}{3}
]<\/p>\n\n\n\nStep 2: Divide the improper fraction by 4<\/h3>\n\n\n\n
\\frac{17}{3} \\div 4 = \\frac{17}{3} \\times \\frac{1}{4}
]<\/p>\n\n\n\nStep 3: Multiply the fractions<\/h3>\n\n\n\n
\\frac{17}{3} \\times \\frac{1}{4} = \\frac{17 \\times 1}{3 \\times 4} = \\frac{17}{12}
]<\/p>\n\n\n\nStep 4: Simplify the result (if necessary)<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n