What’s 2\/5 divided by 4 ( simplest form)<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the problem ( \\frac{2}{5} \\div 4 ), we can follow a step-by-step approach to understand how to perform the division of a fraction by a whole number.<\/p>\n\n\n\n When dividing a fraction by a whole number, we can rewrite the whole number as a fraction. The number 4 can be expressed as ( \\frac{4}{1} ). Therefore, the expression becomes:<\/p>\n\n\n\n [ To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of ( \\frac{4}{1} ) is ( \\frac{1}{4} ). Thus, we can rewrite the division as a multiplication:<\/p>\n\n\n\n [ Next, we multiply the numerators and the denominators:<\/p>\n\n\n\n [ The fraction ( \\frac{2}{20} ) can be simplified. Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 2:<\/p>\n\n\n\n [ Therefore, ( \\frac{2}{5} \\div 4 ) simplifies to ( \\frac{1}{10} ).<\/p>\n\n\n\n This solution illustrates the process of converting division into multiplication by using the reciprocal, and then performing multiplication on the fractions. Simplifying the result is a crucial step to express the answer in its simplest form. Understanding these principles is essential for effectively working with fractions in various mathematical contexts.<\/p>\n","protected":false},"excerpt":{"rendered":" What’s 2\/5 divided by 4 ( simplest form) The Correct Answer and Explanation is : To solve the problem ( \\frac{2}{5} \\div 4 ), we can follow a step-by-step approach to understand how to perform the division of a fraction by a whole number. Step 1: Understand the Division of a Fraction by a Whole […]<\/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-146628","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146628","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=146628"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146628\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the Division of a Fraction by a Whole Number<\/h3>\n\n\n\n
\\frac{2}{5} \\div \\frac{4}{1}
]<\/p>\n\n\n\nStep 2: Apply the Rule of Dividing Fractions<\/h3>\n\n\n\n
\\frac{2}{5} \\times \\frac{1}{4}
]<\/p>\n\n\n\nStep 3: Multiply the Fractions<\/h3>\n\n\n\n
\\frac{2 \\times 1}{5 \\times 4} = \\frac{2}{20}
]<\/p>\n\n\n\nStep 4: Simplify the Result<\/h3>\n\n\n\n
\\frac{2 \\div 2}{20 \\div 2} = \\frac{1}{10}
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n