{"id":232873,"date":"2025-06-12T09:47:14","date_gmt":"2025-06-12T09:47:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232873"},"modified":"2025-06-12T09:47:16","modified_gmt":"2025-06-12T09:47:16","slug":"what-is-24-divided-by-23-1-3-equal-in-fraction-form-and-simplified","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/what-is-24-divided-by-23-1-3-equal-in-fraction-form-and-simplified\/","title":{"rendered":"What is 24 divided by 23 1\/3 equal in fraction form and simplified"},"content":{"rendered":"\n

What is 24 divided by 23 1\/3 equal in fraction form and simplified<\/p>\n\n\n\n

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

Answer:<\/strong> 242313=24703=24\u00d7370=7270=3635\\frac{24}{23\\frac{1}{3}} = \\frac{24}{\\frac{70}{3}} = \\frac{24 \\times 3}{70} = \\frac{72}{70} = \\frac{36}{35}2331\u200b24\u200b=370\u200b24\u200b=7024\u00d73\u200b=7072\u200b=3536\u200b<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/strong><\/p>\n\n\n\n

To divide a whole number by a mixed number, we follow a systematic approach. First, we convert the mixed number into an improper fraction. Then we rewrite the division as multiplication by the reciprocal. Finally, we simplify the resulting fraction to its lowest terms.<\/p>\n\n\n\n

In this problem, we are dividing 24 by 23\u2153. The mixed number 23\u2153 means 23 plus one-third. To convert this into an improper fraction, we multiply the whole number part (23) by the denominator of the fractional part (3), and then add the numerator (1). This gives: 23\u00d73=69,69+1=7023 \\times 3 = 69, \\quad 69 + 1 = 7023\u00d73=69,69+1=70<\/p>\n\n\n\n

So, 23\u2153 is equal to the improper fraction 703\\frac{70}{3}370\u200b.<\/p>\n\n\n\n

Now, the original problem becomes: 24703\\frac{24}{\\frac{70}{3}}370\u200b24\u200b<\/p>\n\n\n\n

To divide by a fraction, we multiply by its reciprocal. The reciprocal of 703\\frac{70}{3}370\u200b is 370\\frac{3}{70}703\u200b. So, we have: 24703=24\u00d7370\\frac{24}{\\frac{70}{3}} = 24 \\times \\frac{3}{70}370\u200b24\u200b=24\u00d7703\u200b<\/p>\n\n\n\n

We multiply the numerators and the denominators: 24\u00d73=72,1\u00d770=70,so727024 \\times 3 = 72, \\quad 1 \\times 70 = 70, \\quad \\text{so} \\quad \\frac{72}{70}24\u00d73=72,1\u00d770=70,so7072\u200b<\/p>\n\n\n\n

This fraction can be simplified. Both 72 and 70 are divisible by 2: 72\u00f7270\u00f72=3635\\frac{72 \\div 2}{70 \\div 2} = \\frac{36}{35}70\u00f7272\u00f72\u200b=3536\u200b<\/p>\n\n\n\n

This is the simplified form of the fraction. It is an improper fraction because the numerator (36) is larger than the denominator (35), but it is already in simplest terms since 36 and 35 have no common factors other than 1.<\/p>\n\n\n\n

Thus, 24 divided by 23\u2153 equals 3635\\frac{36}{35}3536\u200b<\/strong> in simplified fraction form.<\/p>\n\n\n\n

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

What is 24 divided by 23 1\/3 equal in fraction form and simplified The Correct Answer and Explanation is: Answer: 242313=24703=24\u00d7370=7270=3635\\frac{24}{23\\frac{1}{3}} = \\frac{24}{\\frac{70}{3}} = \\frac{24 \\times 3}{70} = \\frac{72}{70} = \\frac{36}{35}2331\u200b24\u200b=370\u200b24\u200b=7024\u00d73\u200b=7072\u200b=3536\u200b Explanation To divide a whole number by a mixed number, we follow a systematic approach. First, we convert the mixed number into an improper […]<\/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-232873","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232873","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=232873"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232873\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232873"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}