{"id":238315,"date":"2025-06-18T04:26:32","date_gmt":"2025-06-18T04:26:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238315"},"modified":"2025-06-18T04:26:34","modified_gmt":"2025-06-18T04:26:34","slug":"what-mixed-fraction-is-1-3-of-100","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/what-mixed-fraction-is-1-3-of-100\/","title":{"rendered":"what mixed fraction is 1\/3 of 100"},"content":{"rendered":"\n

what mixed fraction is 1\/3 of 100<\/p>\n\n\n\n

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

Correct Answer:<\/strong><\/p>\n\n\n\n

13\\frac{1}{3}31\u200b of 100 is 33 13\\frac{1}{3}31\u200b<\/strong> as a mixed fraction.<\/p>\n\n\n\n

\n\n\n\n

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

To find one-third of 100, we multiply: 13\u00d7100=1003\\frac{1}{3} \\times 100 = \\frac{100}{3}31\u200b\u00d7100=3100\u200b<\/p>\n\n\n\n

This result, 1003\\frac{100}{3}3100\u200b, is an improper fraction<\/strong> because the numerator (100) is greater than the denominator (3). To convert it into a mixed fraction<\/strong>, we divide the numerator by the denominator: 100\u00f73=33 with a remainder of 1100 \\div 3 = 33 \\text{ with a remainder of } 1100\u00f73=33 with a remainder of 1<\/p>\n\n\n\n

This means:<\/p>\n\n\n\n

    \n
  • The whole number part is 33.<\/li>\n\n\n\n
  • The remainder is 1, which becomes the numerator of the fractional part.<\/li>\n\n\n\n
  • The denominator remains 3.<\/li>\n<\/ul>\n\n\n\n

    So, we write: 1003=3313\\frac{100}{3} = 33 \\frac{1}{3}3100\u200b=3331\u200b<\/p>\n\n\n\n

    Why this works:<\/h3>\n\n\n\n

    Fractions like 13\\frac{1}{3}31\u200b represent equal parts of a whole. When we take one-third of a number, we are essentially dividing that number into three equal parts. In this case, dividing 100 by 3 means we want to split 100 into three equal parts. The result is 33 full parts, and there is a leftover of 1 unit. That leftover is then also divided into thirds, giving one-third as the remainder portion of the answer.<\/p>\n\n\n\n

    Real-life example:<\/h3>\n\n\n\n

    Imagine you have 100 apples and you want to give one-third of them to a friend. You divide the apples into three equal groups. Each group has 33 apples, but 1 apple remains. To divide this last apple fairly, you cut it into three equal parts, and your friend gets one of those parts. So they receive 33 whole apples and one-third of an apple.<\/p>\n\n\n\n

    This is why one-third of 100 is 33 13\\frac{1}{3}31\u200b<\/strong>.<\/p>\n\n\n\n

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

    what mixed fraction is 1\/3 of 100 The Correct Answer and Explanation is: Correct Answer: 13\\frac{1}{3}31\u200b of 100 is 33 13\\frac{1}{3}31\u200b as a mixed fraction. Explanation: To find one-third of 100, we multiply: 13\u00d7100=1003\\frac{1}{3} \\times 100 = \\frac{100}{3}31\u200b\u00d7100=3100\u200b This result, 1003\\frac{100}{3}3100\u200b, is an improper fraction because the numerator (100) is greater than the denominator (3). […]<\/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-238315","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238315","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=238315"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238315\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}