{"id":225448,"date":"2025-06-04T08:40:04","date_gmt":"2025-06-04T08:40:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225448"},"modified":"2025-06-04T08:40:06","modified_gmt":"2025-06-04T08:40:06","slug":"students-volunteering-at-a-charity-event-work-frac12-hour-shifts","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/students-volunteering-at-a-charity-event-work-frac12-hour-shifts\/","title":{"rendered":"Students volunteering at a charity event work \\frac{1}{2}-hour shifts."},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">Students volunteering at a charity event work \\frac{1}{2}-hour shifts. Zack volunteered for 4 hours. He incorrectly divided one half by four to find the number of shifts he worked. How should Zack have calculated the number of his shifts?<\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-109.png\" alt=\"\" class=\"wp-image-225449\"\/><\/figure>\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><strong>Correct Answer:<\/strong><br>Zack should have divided 4 by <strong>1\/2<\/strong> (not 1\/2 by 4).<br>That is: 4\u00f712=4\u00d72=84 \\div \\frac{1}{2} = 4 \\times 2 = 8<\/p>\n\n\n\n<p>So, Zack worked <strong>8 shifts<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation<\/strong><\/p>\n\n\n\n<p>The problem involves understanding how to divide whole numbers by fractions, which is a common area of confusion in math. Zack volunteered for 4 hours, and each shift is <strong>1\/2 hour long<\/strong>. The question is: how many half-hour shifts fit into 4 hours?<\/p>\n\n\n\n<p>Zack made a mistake by dividing <strong>1\/2 by 4<\/strong>. This operation calculates how many <strong>fourths<\/strong> of an hour are in <strong>half<\/strong> an hour, which is not what the problem is asking. In this context, we want to know how many <strong>1\/2-hour shifts<\/strong> are contained within <strong>4 total hours<\/strong>.<\/p>\n\n\n\n<p>To find that, the correct operation is: Total&nbsp;Time\u00f7Length&nbsp;of&nbsp;One&nbsp;Shift=Number&nbsp;of&nbsp;Shifts\\text{Total Time} \\div \\text{Length of One Shift} = \\text{Number of Shifts}<\/p>\n\n\n\n<p>That becomes: 4\u00f7124 \\div \\frac{1}{2}<\/p>\n\n\n\n<p>When dividing by a fraction, we multiply by its reciprocal: 4\u00f712=4\u00d72=84 \\div \\frac{1}{2} = 4 \\times 2 = 8<\/p>\n\n\n\n<p>This means 8 half-hour shifts fit into 4 hours.<\/p>\n\n\n\n<p>Here&#8217;s a way to think about it visually:<br>Imagine breaking each hour into two half-hour blocks. In 4 hours, you get:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 half-hours in the first hour<\/li>\n\n\n\n<li>2 in the second<\/li>\n\n\n\n<li>2 in the third<\/li>\n\n\n\n<li>2 in the fourth<\/li>\n<\/ul>\n\n\n\n<p>That\u2019s a total of 2 \u00d7 4 = 8 shifts.<\/p>\n\n\n\n<p>Understanding this kind of fractional division is important in real-life tasks such as scheduling, time management, and even budgeting. Zack\u2019s mistake shows why it\u2019s important to think about what the numbers represent before doing calculations.<\/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-banner4-319.jpeg\" alt=\"\" class=\"wp-image-225450\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Students volunteering at a charity event work \\frac{1}{2}-hour shifts. Zack volunteered for 4 hours. He incorrectly divided one half by four to find the number of shifts he worked. How should Zack have calculated the number of his shifts? The Correct Answer and Explanation is: Correct Answer:Zack should have divided 4 by 1\/2 (not 1\/2 [&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-225448","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225448","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=225448"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225448\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225448"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225448"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225448"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}