{"id":228556,"date":"2025-06-07T11:31:58","date_gmt":"2025-06-07T11:31:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228556"},"modified":"2025-06-07T11:32:00","modified_gmt":"2025-06-07T11:32:00","slug":"gavin-and-his-three-friends-want-to-share-frac13-of-a-cake-equally","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/gavin-and-his-three-friends-want-to-share-frac13-of-a-cake-equally\/","title":{"rendered":"Gavin and his three friends want to share \\frac{1}{3} of a cake equally."},"content":{"rendered":"\n

Gavin and his three friends want to share \\frac{1}{3} of a cake equally. Gavin says that each friend will get \\frac{1}{9} of the cake. Use the drop-down menus to explain whether or not Gavin is correct. Click the arrows to choose an answer from each menu. Gavin is correct . To find how much cake each person gets, divide \\frac{1}{3} by , or multiply \\frac{1}{3} by . Therefore, each of the friends gets of the cake.<\/p>\n\n\n\n

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

Drop-down Menu Answers:<\/strong><\/h3>\n\n\n\n
    \n
  • Gavin is not correct<\/strong>.<\/li>\n\n\n\n
  • To find how much cake each person gets, divide 13\\frac{1}{3}31\u200b<\/strong> by 4<\/strong>,<\/li>\n\n\n\n
  • or multiply 13\\frac{1}{3}31\u200b<\/strong> by 14\\frac{1}{4}41\u200b<\/strong>.<\/li>\n\n\n\n
  • Therefore, each of the friends gets 112\\frac{1}{12}121\u200b<\/strong> of the cake.<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Explanation <\/strong><\/h3>\n\n\n\n

    Gavin and his three friends want to share 13\\frac{1}{3}31\u200b of a cake equally. This means the total amount to be shared is only a third of the cake, not the whole cake. There are four people in total (Gavin plus three friends), so we need to divide 13\\frac{1}{3}31\u200b by 4.<\/p>\n\n\n\n

    Mathematically, dividing by a number is the same as multiplying by its reciprocal. So, we calculate:13\u00f74=13\u00d714=112\\frac{1}{3} \\div 4 = \\frac{1}{3} \\times \\frac{1}{4} = \\frac{1}{12}31\u200b\u00f74=31\u200b\u00d741\u200b=121\u200b<\/p>\n\n\n\n

    Each person, therefore, gets 112\\frac{1}{12}121\u200b of the whole cake.<\/p>\n\n\n\n

    Gavin incorrectly says that each friend will get 19\\frac{1}{9}91\u200b of the cake. That would be correct only<\/strong> if 13\\frac{1}{3}31\u200b were divided among three<\/strong> people. In that case:13\u00f73=13\u00d713=19\\frac{1}{3} \\div 3 = \\frac{1}{3} \\times \\frac{1}{3} = \\frac{1}{9}31\u200b\u00f73=31\u200b\u00d731\u200b=91\u200b<\/p>\n\n\n\n

    But since there are four people sharing the cake, not three, his answer is incorrect. He likely forgot to include himself in the count.<\/p>\n\n\n\n

    This is a common mistake when dividing shared portions \u2014 it’s important to count all participants, including yourself if you’re part of the group. Always check whether the division accounts for everyone.<\/p>\n\n\n\n

    In summary, to divide 13\\frac{1}{3}31\u200b of a cake equally among 4 people, we divide by 4 (or multiply by 14\\frac{1}{4}41\u200b). That gives each person 112\\frac{1}{12}121\u200b of the cake. So Gavin is not correct; the correct share for each person is 112\\frac{1}{12}121\u200b.<\/p>\n\n\n\n

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

    Gavin and his three friends want to share \\frac{1}{3} of a cake equally. Gavin says that each friend will get \\frac{1}{9} of the cake. Use the drop-down menus to explain whether or not Gavin is correct. Click the arrows to choose an answer from each menu. Gavin is correct . To find how much cake […]<\/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-228556","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228556","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=228556"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228556\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228556"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228556"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}