2\/5 divided by 1\/4 as a fraction<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To divide two fractions, you multiply the first fraction by the reciprocal (or inverse) of the second fraction. Here’s the step-by-step process for dividing ( \\frac{2}{5} ) by ( \\frac{1}{4} ):<\/p>\n\n\n\n When dividing by a fraction, we multiply by the reciprocal (invert the second fraction). So, the problem becomes:<\/p>\n\n\n\n [ To multiply fractions, multiply the numerators (top numbers) and the denominators (bottom numbers) separately:<\/p>\n\n\n\n [ So, the result of the multiplication is:<\/p>\n\n\n\n [ In this case, ( \\frac{8}{5} ) is already in its simplest form because 8 and 5 have no common factors other than 1.<\/p>\n\n\n\n The result of dividing ( \\frac{2}{5} ) by ( \\frac{1}{4} ) is:<\/p>\n\n\n\n [ The key to dividing fractions is understanding the reciprocal. Dividing by a fraction means asking how many times the denominator of the second fraction can fit into the numerator of the first. In this case, ( \\frac{2}{5} ) divided by ( \\frac{1}{4} ) asks how many times ( \\frac{1}{4} ) fits into ( \\frac{2}{5} ). By multiplying by the reciprocal of ( \\frac{1}{4} ) (which is ( \\frac{4}{1} )), we convert the division problem into a multiplication problem, making it easier to solve.<\/p>\n\n\n\n This method applies to all division of fractions and ensures that the operation is straightforward and efficient.<\/p>\n","protected":false},"excerpt":{"rendered":" 2\/5 divided by 1\/4 as a fraction The Correct Answer and Explanation is : To divide two fractions, you multiply the first fraction by the reciprocal (or inverse) of the second fraction. Here’s the step-by-step process for dividing ( \\frac{2}{5} ) by ( \\frac{1}{4} ): Step 1: Write the problem as a multiplication When dividing […]<\/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-164982","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164982","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=164982"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164982\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Write the problem as a multiplication<\/h3>\n\n\n\n
\\frac{2}{5} \\div \\frac{1}{4} = \\frac{2}{5} \\times \\frac{4}{1}
]<\/p>\n\n\n\nStep 2: Multiply the fractions<\/h3>\n\n\n\n
\\text{Numerator: } 2 \\times 4 = 8
]
[
\\text{Denominator: } 5 \\times 1 = 5
]<\/p>\n\n\n\n
\\frac{8}{5}
]<\/p>\n\n\n\nStep 3: Simplify if needed<\/h3>\n\n\n\n
Final Answer<\/h3>\n\n\n\n
\\frac{8}{5}
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n