What is 1\/8 divided by 4 in fraction form simplified?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve the problem of dividing ( \\frac{1}{8} ) by ( 4 ) in fraction form, we can follow a systematic approach.<\/p>\n\n\n\n First, we need to understand that dividing a fraction by a whole number can be simplified by converting the whole number into a fraction. The whole number ( 4 ) can be expressed as ( \\frac{4}{1} ).<\/p>\n\n\n\n Now, the expression ( \\frac{1}{8} \\div 4 ) can be rewritten as:<\/p>\n\n\n\n [ When dividing by a fraction, we multiply by its reciprocal. The reciprocal of ( \\frac{4}{1} ) is ( \\frac{1}{4} ). Therefore, we rewrite the division as follows:<\/p>\n\n\n\n [ Now, we can multiply the fractions. When multiplying fractions, we multiply the numerators together and the denominators together:<\/p>\n\n\n\n [ Thus, ( \\frac{1}{8} \\div 4 = \\frac{1}{32} ).<\/p>\n\n\n\n In this case, the fraction ( \\frac{1}{32} ) is already in its simplest form. The numerator is ( 1 ), which is a prime number and has no common factors with ( 32 ). Therefore, there are no further simplifications possible.<\/p>\n\n\n\n The final answer to ( \\frac{1}{8} \\div 4 ) is ( \\frac{1}{32} ). This demonstrates an important principle in fraction arithmetic: dividing fractions by whole numbers involves converting the whole number into a fraction and then using multiplication by the reciprocal to arrive at the answer. Thus, we see that ( \\frac{1}{32} ) is a smaller fraction, illustrating how division by a larger whole number reduces the value of the original fraction.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 1\/8 divided by 4 in fraction form simplified? The Correct Answer and Explanation is: To solve the problem of dividing ( \\frac{1}{8} ) by ( 4 ) in fraction form, we can follow a systematic approach. First, we need to understand that dividing a fraction by a whole number can be simplified by […]<\/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-160930","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160930","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=160930"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160930\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{1}{8} \\div \\frac{4}{1}
]<\/p>\n\n\n\n
\\frac{1}{8} \\div \\frac{4}{1} = \\frac{1}{8} \\times \\frac{1}{4}
]<\/p>\n\n\n\n
\\frac{1 \\times 1}{8 \\times 4} = \\frac{1}{32}
]<\/p>\n\n\n\nSimplification<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n