{"id":167506,"date":"2024-11-15T19:11:26","date_gmt":"2024-11-15T19:11:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167506"},"modified":"2024-11-15T19:11:29","modified_gmt":"2024-11-15T19:11:29","slug":"write-a-problem-that-uses-a-fraction-greater-than-1","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/write-a-problem-that-uses-a-fraction-greater-than-1\/","title":{"rendered":"Write a problem that uses a fraction greater than 1."},"content":{"rendered":"\n<p>Write a problem that uses a fraction greater than 1.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Problem:<\/strong><\/p>\n\n\n\n<p>Sarah is baking cookies for a school fundraiser. The recipe calls for 2 1\/4 cups of sugar, but she wants to make 3 times the amount of cookies the recipe yields. How much sugar will Sarah need to use?<\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>Sarah will need 6 3\/4 cups of sugar.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To solve this problem, we need to multiply the amount of sugar required in the original recipe by 3, since Sarah wants to make 3 times the amount of cookies.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert the mixed number into an improper fraction.<\/h3>\n\n\n\n<p>The amount of sugar in the recipe is 2 1\/4 cups. A mixed number consists of a whole number and a fraction. To convert 2 1\/4 into an improper fraction, we follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Multiply the whole number (2) by the denominator of the fraction (4).<br>[<br>2 \\times 4 = 8<br>]<\/li>\n\n\n\n<li>Add the numerator of the fraction (1) to this product:<br>[<br>8 + 1 = 9<br>]<br>So, 2 1\/4 is equivalent to the improper fraction 9\/4.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the improper fraction by 3.<\/h3>\n\n\n\n<p>Now, we need to multiply 9\/4 by 3 to find the total amount of sugar needed for the larger batch of cookies.<br>[<br>\\frac{9}{4} \\times 3 = \\frac{9 \\times 3}{4} = \\frac{27}{4}<br>]<br>Thus, the result is 27\/4 cups.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert the improper fraction back to a mixed number.<\/h3>\n\n\n\n<p>To convert 27\/4 back to a mixed number, divide 27 by 4. The quotient is 6, and the remainder is 3. This means:<br>[<br>27 \\div 4 = 6 \\text{ remainder } 3<br>]<br>Thus, 27\/4 is equal to 6 3\/4.<\/p>\n\n\n\n<p>Therefore, Sarah will need <strong>6 3\/4 cups of sugar<\/strong> to make 3 times the original batch of cookies.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>By converting the mixed number to an improper fraction and then performing the multiplication, we determined that Sarah needs 6 3\/4 cups of sugar. This method helps when multiplying mixed numbers in real-life scenarios like cooking.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write a problem that uses a fraction greater than 1. The Correct Answer and Explanation is: Problem: Sarah is baking cookies for a school fundraiser. The recipe calls for 2 1\/4 cups of sugar, but she wants to make 3 times the amount of cookies the recipe yields. How much sugar will Sarah need to [&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-167506","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167506","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=167506"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167506\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}