{"id":255069,"date":"2025-07-12T20:14:24","date_gmt":"2025-07-12T20:14:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255069"},"modified":"2025-07-12T20:14:26","modified_gmt":"2025-07-12T20:14:26","slug":"4-3-10-divided-by-2-1-4-mixed-number-or-whole-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/4-3-10-divided-by-2-1-4-mixed-number-or-whole-number\/","title":{"rendered":"4 3\/10 divided by 2 1\/4 mixed number or whole number"},"content":{"rendered":"\n

4 3\/10 divided by 2 1\/4 mixed number or whole number<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve 4310\u00f72144 \\frac{3}{10} \\div 2 \\frac{1}{4}4103\u200b\u00f7241\u200b, we first need to convert the mixed numbers into improper fractions and then divide them. Here\u2019s the step-by-step process:<\/p>\n\n\n\n

Step 1: Convert the mixed numbers into improper fractions.<\/h3>\n\n\n\n
    \n
  1. For 43104 \\frac{3}{10}4103\u200b:\n
      \n
    • Multiply the whole number (4) by the denominator (10): 4\u00d710=404 \\times 10 = 404\u00d710=40.<\/li>\n\n\n\n
    • Add the numerator (3): 40+3=4340 + 3 = 4340+3=43.<\/li>\n\n\n\n
    • So, 4310=43104 \\frac{3}{10} = \\frac{43}{10}4103\u200b=1043\u200b.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • For 2142 \\frac{1}{4}241\u200b:\n
        \n
      • Multiply the whole number (2) by the denominator (4): 2\u00d74=82 \\times 4 = 82\u00d74=8.<\/li>\n\n\n\n
      • Add the numerator (1): 8+1=98 + 1 = 98+1=9.<\/li>\n\n\n\n
      • So, 214=942 \\frac{1}{4} = \\frac{9}{4}241\u200b=49\u200b.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

        Step 2: Rewrite the division problem as a multiplication problem.<\/h3>\n\n\n\n

        To divide by a fraction, we multiply by its reciprocal (flip the numerator and denominator). So, we have: 4310\u00f794=4310\u00d749\\frac{43}{10} \\div \\frac{9}{4} = \\frac{43}{10} \\times \\frac{4}{9}1043\u200b\u00f749\u200b=1043\u200b\u00d794\u200b<\/p>\n\n\n\n

        Step 3: Multiply the fractions.<\/h3>\n\n\n\n

        Now, multiply the numerators and denominators: 43\u00d7410\u00d79=17290\\frac{43 \\times 4}{10 \\times 9} = \\frac{172}{90}10\u00d7943\u00d74\u200b=90172\u200b<\/p>\n\n\n\n

        Step 4: Simplify the fraction.<\/h3>\n\n\n\n

        To simplify, we find the greatest common divisor (GCD) of 172 and 90, which is 2. Divide both the numerator and denominator by 2: 17290=172\u00f7290\u00f72=8645\\frac{172}{90} = \\frac{172 \\div 2}{90 \\div 2} = \\frac{86}{45}90172\u200b=90\u00f72172\u00f72\u200b=4586\u200b<\/p>\n\n\n\n

        Step 5: Convert the improper fraction back into a mixed number.<\/h3>\n\n\n\n

        To convert 8645\\frac{86}{45}4586\u200b into a mixed number, divide 86 by 45. The quotient is 1, and the remainder is 41, so: 8645=14145\\frac{86}{45} = 1 \\frac{41}{45}4586\u200b=14541\u200b<\/p>\n\n\n\n

        Final Answer:<\/h3>\n\n\n\n

        The solution to 4310\u00f72144 \\frac{3}{10} \\div 2 \\frac{1}{4}4103\u200b\u00f7241\u200b is 141451 \\frac{41}{45}14541\u200b.<\/p>\n\n\n\n

        This mixed number represents the result of the division, and since the remainder is smaller than the denominator, the fraction is already in its simplest form.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        4 3\/10 divided by 2 1\/4 mixed number or whole number The Correct Answer and Explanation is: To solve 4310\u00f72144 \\frac{3}{10} \\div 2 \\frac{1}{4}4103\u200b\u00f7241\u200b, we first need to convert the mixed numbers into improper fractions and then divide them. Here\u2019s the step-by-step process: Step 1: Convert the mixed numbers into improper fractions. Step 2: Rewrite […]<\/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-255069","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255069","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=255069"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255069\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}