{"id":162577,"date":"2024-11-06T20:35:10","date_gmt":"2024-11-06T20:35:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162577"},"modified":"2024-11-06T20:35:12","modified_gmt":"2024-11-06T20:35:12","slug":"8-divided-by-1-4-5-in-either-fraction-form-or-just-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/8-divided-by-1-4-5-in-either-fraction-form-or-just-number\/","title":{"rendered":"8 divided by 1 4\/5 in either fraction form or just number"},"content":{"rendered":"\n<p>8 divided by 1 4\/5 in either fraction form or just number<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the problem of dividing 8 by ( \\frac{1}{4} ) (or 1 4\/5), follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Mixed Number to Improper Fraction<\/h3>\n\n\n\n<p>The divisor is a mixed number (1 \\frac{4}{5}), which needs to be converted into an improper fraction. A mixed number consists of a whole number and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator and then add the numerator. The denominator stays the same.<\/p>\n\n\n\n<p>For ( 1 \\frac{4}{5} ):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number 1 by the denominator 5: (1 \\times 5 = 5).<\/li>\n\n\n\n<li>Add the numerator 4 to this product: ( 5 + 4 = 9).<\/li>\n<\/ul>\n\n\n\n<p>So, (1 \\frac{4}{5}) becomes ( \\frac{9}{5} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Division of Fractions<\/h3>\n\n\n\n<p>Now that we have the divisor as ( \\frac{9}{5} ), we need to divide 8 by ( \\frac{9}{5} ). Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of ( \\frac{9}{5} ) is ( \\frac{5}{9} ).<\/p>\n\n\n\n<p>The problem becomes:<br>[<br>8 \\div \\frac{9}{5} = 8 \\times \\frac{5}{9}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiplying Fractions<\/h3>\n\n\n\n<p>Now, multiply the whole number 8 by the fraction ( \\frac{5}{9} ). To do this, express 8 as a fraction with a denominator of 1:<br>[<br>8 = \\frac{8}{1}<br>]<br>Now multiply the two fractions:<br>[<br>\\frac{8}{1} \\times \\frac{5}{9} = \\frac{8 \\times 5}{1 \\times 9} = \\frac{40}{9}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplifying the Result (if needed)<\/h3>\n\n\n\n<p>The fraction ( \\frac{40}{9} ) is in its simplest form, and it is an improper fraction. To convert it to a mixed number, divide 40 by 9:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 goes into 40 four times (since ( 9 \\times 4 = 36 )).<\/li>\n\n\n\n<li>The remainder is 4.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the mixed number form of ( \\frac{40}{9} ) is ( 4 \\frac{4}{9} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In improper fraction form: ( \\frac{40}{9} )<\/li>\n\n\n\n<li>As a mixed number: ( 4 \\frac{4}{9} )<\/li>\n<\/ul>\n\n\n\n<p>Thus, the answer to ( 8 \\div 1 \\frac{4}{5} ) is ( \\frac{40}{9} ) or ( 4 \\frac{4}{9} ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>8 divided by 1 4\/5 in either fraction form or just number The Correct Answer and Explanation is: To solve the problem of dividing 8 by ( \\frac{1}{4} ) (or 1 4\/5), follow these steps: Step 1: Convert Mixed Number to Improper Fraction The divisor is a mixed number (1 \\frac{4}{5}), which needs to be [&hellip;]<\/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 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