{"id":229733,"date":"2025-06-08T11:48:54","date_gmt":"2025-06-08T11:48:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229733"},"modified":"2025-06-08T11:48:56","modified_gmt":"2025-06-08T11:48:56","slug":"debbie-ate-1-8-of-a-large-brownie-julian-ate-1-2-of-a-small-brownie-julian-says-i-ate-more-than-you-because-1-2-1-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/debbie-ate-1-8-of-a-large-brownie-julian-ate-1-2-of-a-small-brownie-julian-says-i-ate-more-than-you-because-1-2-1-8\/","title":{"rendered":"Debbie ate 1\/8 of a large brownie julian ate 1\/2 of a small brownie julian says I ate more than you because 1\/2 > 1\/8"},"content":{"rendered":"\n<p>Debbie ate 1\/8 of a large brownie julian ate 1\/2 of a small brownie julian says I ate more than you because 1\/2 > 1\/8<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Julian&#8217;s claim that he ate more than Debbie because <strong>1\/2 &gt; 1\/8<\/strong> is not necessarily correct. While it&#8217;s true that one-half is a larger fraction than one-eighth, <strong>the actual amount eaten depends not just on the fraction but also on the size of the whole item<\/strong>\u2014in this case, the brownie.<\/p>\n\n\n\n<p>Debbie ate <strong>1\/8 of a large brownie<\/strong>, and Julian ate <strong>1\/2 of a small brownie<\/strong>. If the large brownie is significantly bigger than the small brownie, then 1\/8 of the large one could actually be more than 1\/2 of the small one.<\/p>\n\n\n\n<p>To illustrate this, imagine the large brownie weighs <strong>240 grams<\/strong>, and the small brownie weighs <strong>80 grams<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Debbie\u2019s portion:<br>18\u00d7240=30\\frac{1}{8} \\times 240 = 3081\u200b\u00d7240=30 grams<\/li>\n\n\n\n<li>Julian\u2019s portion:<br>12\u00d780=40\\frac{1}{2} \\times 80 = 4021\u200b\u00d780=40 grams<\/li>\n<\/ul>\n\n\n\n<p>In this case, Julian did eat more (40 grams vs. 30 grams), so his claim would be correct.<\/p>\n\n\n\n<p>However, suppose the large brownie weighed <strong>400 grams<\/strong> and the small brownie still weighed <strong>80 grams<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Debbie\u2019s portion:<br>18\u00d7400=50\\frac{1}{8} \\times 400 = 5081\u200b\u00d7400=50 grams<\/li>\n\n\n\n<li>Julian\u2019s portion:<br>12\u00d780=40\\frac{1}{2} \\times 80 = 4021\u200b\u00d780=40 grams<\/li>\n<\/ul>\n\n\n\n<p>Now, Debbie actually ate <strong>more<\/strong> than Julian (50 grams vs. 40 grams), even though her fraction (1\/8) is smaller than Julian\u2019s (1\/2).<\/p>\n\n\n\n<p>This shows that comparing fractions <strong>without knowing the size of the whole<\/strong> can be misleading. Julian\u2019s statement assumes the brownies are the same size, which isn\u2019t stated in the problem. Since Debbie had part of a <em>large<\/em> brownie and Julian had part of a <em>small<\/em> one, we <strong>cannot<\/strong> say for sure who ate more without knowing the actual sizes.<\/p>\n\n\n\n<p><strong>Conclusion<\/strong>: Julian\u2019s reasoning is flawed. Even though 1\/2 is mathematically greater than 1\/8, this does <strong>not<\/strong> automatically mean he ate more. The size of each brownie must be considered.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner7-343.jpeg\" alt=\"\" class=\"wp-image-229734\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Debbie ate 1\/8 of a large brownie julian ate 1\/2 of a small brownie julian says I ate more than you because 1\/2 > 1\/8 The Correct Answer and Explanation is: Julian&#8217;s claim that he ate more than Debbie because 1\/2 &gt; 1\/8 is not necessarily correct. While it&#8217;s true that one-half is a larger [&hellip;]<\/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-229733","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229733","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=229733"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229733\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}