What is 5 divided by 2\/3 as a fraction<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To divide 5 by (\\frac{2}{3}), follow these steps:<\/p>\n\n\n\n Dividing by a fraction can sometimes be confusing, but there’s a simple rule: to divide by a fraction, multiply by its reciprocal. This is because division is the inverse of multiplication. To see why this works, consider the problem 5 divided by (\\frac{2}{3}).<\/p>\n\n\n\n Imagine the fraction (\\frac{2}{3}) as “two-thirds.” If you are dividing by (\\frac{2}{3}), you’re asking how many times two-thirds fit into 5. To simplify this, you can flip the fraction and multiply instead of dividing. This gives us 5 multiplied by (\\frac{3}{2}), which makes the calculation straightforward.<\/p>\n\n\n\n Now, when multiplying fractions, you multiply the numerators (top numbers) and the denominators (bottom numbers) separately. In our case, multiplying the whole number 5 by (\\frac{3}{2}) means converting 5 into a fraction ((\\frac{5}{1})) and performing the multiplication: You could convert (\\frac{15}{2}) to a mixed number, but (\\frac{15}{2}) itself is the precise fractional result.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 5 divided by 2\/3 as a fraction The Correct Answer and Explanation is : To divide 5 by (\\frac{2}{3}), follow these steps: Explanation (300 words): Dividing by a fraction can sometimes be confusing, but there’s a simple rule: to divide by a fraction, multiply by its reciprocal. This is because division is the […]<\/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-145155","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145155","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=145155"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145155\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
[
5 \\div \\frac{2}{3} = 5 \\times \\frac{3}{2}
]
When dividing by a fraction, you multiply by its reciprocal (flip the numerator and denominator).<\/li>\n\n\n\n
[
5 \\times \\frac{3}{2} = \\frac{5 \\times 3}{1 \\times 2} = \\frac{15}{2}
]
So, 5 divided by (\\frac{2}{3}) equals (\\frac{15}{2}).<\/li>\n<\/ol>\n\n\n\nExplanation (300 words):<\/h3>\n\n\n\n
[
\\frac{5}{1} \\times \\frac{3}{2} = \\frac{5 \\times 3}{1 \\times 2} = \\frac{15}{2}
]
The result, (\\frac{15}{2}), is an improper fraction, meaning the numerator is larger than the denominator. This is the correct answer and cannot be simplified further as a fraction.<\/p>\n\n\n\n