{"id":243575,"date":"2025-07-04T14:30:25","date_gmt":"2025-07-04T14:30:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=243575"},"modified":"2025-07-04T14:30:27","modified_gmt":"2025-07-04T14:30:27","slug":"calculate-the-exact-value-of-3-1-5-2-3-divided-by-2-4-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/calculate-the-exact-value-of-3-1-5-2-3-divided-by-2-4-5\/","title":{"rendered":"CALCULATE THE EXACT VALUE OF 3 1\/5 – 2\/3 divided by 2 4\/5"},"content":{"rendered":"\n
CALCULATE THE EXACT VALUE OF 3 1\/5 – 2\/3 divided by 2 4\/5<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To solve 315\u221223\u00f72453 \\frac{1}{5} – \\frac{2}{3} \\div 2 \\frac{4}{5}351\u200b\u221232\u200b\u00f7254\u200b, let’s break it down step by step.<\/p>\n\n\n\n
Step 1: Convert the mixed numbers to improper fractions.<\/h3>\n\n\n\n
Now the expression becomes:165\u221223\u00f7145\\frac{16}{5} – \\frac{2}{3} \\div \\frac{14}{5}516\u200b\u221232\u200b\u00f7514\u200b<\/p>\n\n\n\n
Step 2: Division of fractions.<\/h3>\n\n\n\n
To divide by a fraction, multiply by its reciprocal:23\u00f7145=23\u00d7514=2\u00d753\u00d714=1042\\frac{2}{3} \\div \\frac{14}{5} = \\frac{2}{3} \\times \\frac{5}{14} = \\frac{2 \\times 5}{3 \\times 14} = \\frac{10}{42}32\u200b\u00f7514\u200b=32\u200b\u00d7145\u200b=3\u00d7142\u00d75\u200b=4210\u200b<\/p>\n\n\n\n
Simplify the fraction 1042\\frac{10}{42}4210\u200b:1042=521\\frac{10}{42} = \\frac{5}{21}4210\u200b=215\u200b<\/p>\n\n\n\n
Now the expression becomes:165\u2212521\\frac{16}{5} – \\frac{5}{21}516\u200b\u2212215\u200b<\/p>\n\n\n\n
Step 3: Find a common denominator.<\/h3>\n\n\n\n
The least common denominator (LCD) of 5 and 21 is 105. Now we convert both fractions to have this common denominator.<\/p>\n\n\n\n
Now we can subtract the fractions:336105\u221225105=336\u221225105=311105\\frac{336}{105} – \\frac{25}{105} = \\frac{336 – 25}{105} = \\frac{311}{105}105336\u200b\u221210525\u200b=105336\u221225\u200b=105311\u200b<\/p>\n\n\n\n
Step 5: Convert the improper fraction to a mixed number.<\/h3>\n\n\n\n
To convert 311105\\frac{311}{105}105311\u200b to a mixed number, divide 311 by 105:311\u00f7105=2 remainder 101311 \\div 105 = 2 \\text{ remainder } 101311\u00f7105=2 remainder 101<\/p>\n\n\n\n
The exact value of 315\u221223\u00f72453 \\frac{1}{5} – \\frac{2}{3} \\div 2 \\frac{4}{5}351\u200b\u221232\u200b\u00f7254\u200b is 21011052 \\frac{101}{105}2105101\u200b.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
CALCULATE THE EXACT VALUE OF 3 1\/5 – 2\/3 divided by 2 4\/5 The Correct Answer and Explanation is: To solve 315\u221223\u00f72453 \\frac{1}{5} – \\frac{2}{3} \\div 2 \\frac{4}{5}351\u200b\u221232\u200b\u00f7254\u200b, let’s break it down step by step. Step 1: Convert the mixed numbers to improper fractions. Now the expression becomes:165\u221223\u00f7145\\frac{16}{5} – \\frac{2}{3} \\div \\frac{14}{5}516\u200b\u221232\u200b\u00f7514\u200b Step 2: Division […]<\/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-243575","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243575","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=243575"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243575\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243575"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243575"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243575"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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