Which expression is equivalent to 1\/5 divided by 1\/2<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The expression ( \\frac{1}{5} \\div \\frac{1}{2} ) can be simplified as follows:<\/p>\n\n\n\n Dividing fractions involves multiplying the first fraction by the reciprocal (the inverse) of the second fraction. The reciprocal of ( \\frac{1}{2} ) is ( \\frac{2}{1} ).<\/p>\n\n\n\n So, we rewrite the expression as:<\/p>\n\n\n\n [ To multiply two fractions, multiply the numerators (top numbers) and the denominators (bottom numbers):<\/p>\n\n\n\n [ Thus, ( \\frac{1}{5} \\div \\frac{1}{2} = \\frac{2}{5} ).<\/p>\n\n\n\n When dividing fractions, it’s essential to understand the concept of division in terms of multiplication. Dividing by a fraction is the same as multiplying by its reciprocal. The operation ( \\frac{1}{5} \\div \\frac{1}{2} ) is asking, “How many ( \\frac{1}{2} )’s fit into ( \\frac{1}{5} )?” By multiplying by the reciprocal ( \\frac{2}{1} ), we essentially flip the second fraction and multiply.<\/p>\n\n\n\n This concept is important in many real-world contexts, such as when converting measurements or dealing with ratios. In this case, ( \\frac{1}{5} \\div \\frac{1}{2} ) shows how fractions can be manipulated through multiplication and division.<\/p>\n\n\n\n The expression ( \\frac{1}{5} \\div \\frac{1}{2} ) simplifies to ( \\frac{2}{5} ).<\/p>\n","protected":false},"excerpt":{"rendered":" Which expression is equivalent to 1\/5 divided by 1\/2 The Correct Answer and Explanation is : The expression ( \\frac{1}{5} \\div \\frac{1}{2} ) can be simplified as follows: Step 1: Understand division of fractions Dividing fractions involves multiplying the first fraction by the reciprocal (the inverse) of the second fraction. The reciprocal of ( \\frac{1}{2} […]<\/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-163201","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163201","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=163201"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163201\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163201"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand division of fractions<\/h3>\n\n\n\n
\\frac{1}{5} \\div \\frac{1}{2} = \\frac{1}{5} \\times \\frac{2}{1}
]<\/p>\n\n\n\nStep 2: Multiply the fractions<\/h3>\n\n\n\n
\\frac{1 \\times 2}{5 \\times 1} = \\frac{2}{5}
]<\/p>\n\n\n\nStep 3: Simplified result<\/h3>\n\n\n\n
Explanation<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n