To divide 25\\frac{2}{5}52\u200b by 1781 \\frac{7}{8}187\u200b, we first need to convert the mixed number into an improper fraction and then apply the division rule for fractions.<\/p>\n\n\n\n
Step 1: Convert 1781 \\frac{7}{8}187\u200b to an improper fraction<\/h3>\n\n\n\n
A mixed number like 1781 \\frac{7}{8}187\u200b can be written as an improper fraction. The formula to convert a mixed number to an improper fraction is:Improper fraction=(whole number\u00d7denominator+numerator)\/denominator\\text{Improper fraction} = \\left( \\text{whole number} \\times \\text{denominator} + \\text{numerator} \\right) \/ \\text{denominator}Improper fraction=(whole number\u00d7denominator+numerator)\/denominator<\/p>\n\n\n\n
For 1781 \\frac{7}{8}187\u200b, the whole number is 1, the numerator is 7, and the denominator is 8. So:178=(1\u00d78)+78=8+78=1581 \\frac{7}{8} = \\frac{(1 \\times 8) + 7}{8} = \\frac{8 + 7}{8} = \\frac{15}{8}187\u200b=8(1\u00d78)+7\u200b=88+7\u200b=815\u200b<\/p>\n\n\n\n
Step 2: Divide 25\\frac{2}{5}52\u200b by 158\\frac{15}{8}815\u200b<\/h3>\n\n\n\n
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So:25\u00f7158=25\u00d7815\\frac{2}{5} \\div \\frac{15}{8} = \\frac{2}{5} \\times \\frac{8}{15}52\u200b\u00f7815\u200b=52\u200b\u00d7158\u200b<\/p>\n\n\n\n
Step 3: Multiply the fractions<\/h3>\n\n\n\n
Multiply the numerators and denominators:2\u00d785\u00d715=1675\\frac{2 \\times 8}{5 \\times 15} = \\frac{16}{75}5\u00d7152\u00d78\u200b=7516\u200b<\/p>\n\n\n\n
Step 4: Simplify the fraction<\/h3>\n\n\n\n
The fraction 1675\\frac{16}{75}7516\u200b is already in its simplest form because 16 and 75 have no common factors other than 1.<\/p>\n\n\n\n
Thus, the final answer is:1675\\frac{16}{75}7516\u200b<\/p>\n\n\n\n
Explanation<\/h3>\n\n\n\n
When dividing fractions, the key concept is flipping the second fraction (reciprocal) and multiplying it by the first fraction. We then simplify the resulting fraction if possible. In this case, the improper fraction conversion and multiplication were straightforward, and no further simplification was necessary. The result is 1675\\frac{16}{75}7516\u200b, a proper fraction in its simplest form.<\/p>\n\n\n\n 2\/5 divided by 1 7\/8 in the as a fraction in it simplest form The Correct Answer and Explanation is: To divide 25\\frac{2}{5}52\u200b by 1781 \\frac{7}{8}187\u200b, we first need to convert the mixed number into an improper fraction and then apply the division rule for fractions. Step 1: Convert 1781 \\frac{7}{8}187\u200b to an improper fraction […]<\/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-243522","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243522","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=243522"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243522\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-339.jpeg\")
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