{"id":8973,"date":"2017-04-27T21:55:18","date_gmt":"2017-04-27T21:55:18","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=8973"},"modified":"2020-07-02T02:46:29","modified_gmt":"2020-07-02T02:46:29","slug":"why-it-matters-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/why-it-matters-fractions\/","title":{"raw":"Why It Matters: Fractions","rendered":"Why It Matters: Fractions"},"content":{"raw":"<h2>Why demonstrate an understanding of fractions and how they relate to one another?<\/h2>\r\nNoelle is gathering ingredients to do\u00a0her annual holiday baking. She's planning to bake chocolate cakes and cookies as gifts for her relatives.\u00a0Noelle has 13 1\/2 cups of flour, and she wants to bake as many chocolate cakes with it as she can. Then she plans to use any leftover\u00a0flour to make cookies.\r\n<div class=\"textbox shaded\">\r\n<h3>Noelle's recipe for chocolate layer cake:<\/h3>\r\n<ul>\r\n \t<li><em>2 1\/4 cups sugar<\/em><\/li>\r\n \t<li><em>2\u00a0cups flour<\/em><\/li>\r\n \t<li><em>3\/4 cup unsweetened cocoa powder<\/em><\/li>\r\n \t<li><em>1 1\/2 teaspoons baking powder<\/em><\/li>\r\n \t<li><em>1 1\/2 teaspoons baking soda<\/em><\/li>\r\n \t<li><em>1 teaspoon salt<\/em><\/li>\r\n \t<li><em>2 eggs<\/em><\/li>\r\n \t<li><em>1 1\/4 cups milk<\/em><\/li>\r\n \t<li><em>1\/2 cup vegetable oil<\/em><\/li>\r\n \t<li><em>2 teaspoons vanilla extract<\/em><\/li>\r\n \t<li><em>1 cup boiling water<\/em><\/li>\r\n<\/ul>\r\n<\/div>\r\nIf she makes as many cakes as she can with her flour, how much flour will she have left to make cookies? How much of each ingredient will she need to make all her chocolate cakes?\r\n\r\nShe also knows that her chocolate chip cookie recipe makes six\u00a0cookies per 1\/2 cup of flour. How many cookies will\u00a0she be able to make with her leftover flour?\r\n\r\n[caption id=\"attachment_12865\" align=\"aligncenter\" width=\"650\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/22213637\/Chocolate_Chip_Cookies_-_kimberlykv.jpg\"><img class=\"wp-image-12865 \" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/22213637\/Chocolate_Chip_Cookies_-_kimberlykv-1024x680.jpg\" alt=\"Chocolate chip cookies on a cooling rack\" width=\"650\" height=\"431\" \/><\/a> Chances are your favorite recipe contains fractions.[\/caption]\r\n\r\nTo answer these questions, we need to know how to perform some basic operations with fractions. If you've ever tried to double a recipe or cut it in half, you've probably run into a few fraction problems in the kitchen, too. Let's explore how to work with fractions so we can help Noelle get her cakes and cookies in the oven.\r\n<h2>Contribute!<\/h2><div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div><a href=\"https:\/\/docs.google.com\/document\/d\/10bMNSR0noVQHRKO5OJ8_FoUUAJ7NuXBXYBAIL7LBwjk\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a>","rendered":"<h2>Why demonstrate an understanding of fractions and how they relate to one another?<\/h2>\n<p>Noelle is gathering ingredients to do\u00a0her annual holiday baking. She&#8217;s planning to bake chocolate cakes and cookies as gifts for her relatives.\u00a0Noelle has 13 1\/2 cups of flour, and she wants to bake as many chocolate cakes with it as she can. Then she plans to use any leftover\u00a0flour to make cookies.<\/p>\n<div class=\"textbox shaded\">\n<h3>Noelle&#8217;s recipe for chocolate layer cake:<\/h3>\n<ul>\n<li><em>2 1\/4 cups sugar<\/em><\/li>\n<li><em>2\u00a0cups flour<\/em><\/li>\n<li><em>3\/4 cup unsweetened cocoa powder<\/em><\/li>\n<li><em>1 1\/2 teaspoons baking powder<\/em><\/li>\n<li><em>1 1\/2 teaspoons baking soda<\/em><\/li>\n<li><em>1 teaspoon salt<\/em><\/li>\n<li><em>2 eggs<\/em><\/li>\n<li><em>1 1\/4 cups milk<\/em><\/li>\n<li><em>1\/2 cup vegetable oil<\/em><\/li>\n<li><em>2 teaspoons vanilla extract<\/em><\/li>\n<li><em>1 cup boiling water<\/em><\/li>\n<\/ul>\n<\/div>\n<p>If she makes as many cakes as she can with her flour, how much flour will she have left to make cookies? How much of each ingredient will she need to make all her chocolate cakes?<\/p>\n<p>She also knows that her chocolate chip cookie recipe makes six\u00a0cookies per 1\/2 cup of flour. How many cookies will\u00a0she be able to make with her leftover flour?<\/p>\n<div id=\"attachment_12865\" style=\"width: 660px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/22213637\/Chocolate_Chip_Cookies_-_kimberlykv.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-12865\" class=\"wp-image-12865\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/22213637\/Chocolate_Chip_Cookies_-_kimberlykv-1024x680.jpg\" alt=\"Chocolate chip cookies on a cooling rack\" width=\"650\" height=\"431\" \/><\/a><\/p>\n<p id=\"caption-attachment-12865\" class=\"wp-caption-text\">Chances are your favorite recipe contains fractions.<\/p>\n<\/div>\n<p>To answer these questions, we need to know how to perform some basic operations with fractions. If you&#8217;ve ever tried to double a recipe or cut it in half, you&#8217;ve probably run into a few fraction problems in the kitchen, too. Let&#8217;s explore how to work with fractions so we can help Noelle get her cakes and cookies in the oven.<\/p>\n<h2>Contribute!<\/h2>\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/10bMNSR0noVQHRKO5OJ8_FoUUAJ7NuXBXYBAIL7LBwjk\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-8973\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Chocolate chip cookies. <strong>Authored by<\/strong>: Kimberly Vardeman. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Chocolate_Chip_Cookies_-_kimberlykv.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File:Chocolate_Chip_Cookies_-_kimberlykv.jpg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Chocolate chip cookies\",\"author\":\"Kimberly Vardeman\",\"organization\":\"\",\"url\":\"https:\/\/commons.wikimedia.org\/wiki\/File:Chocolate_Chip_Cookies_-_kimberlykv.jpg\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"162c0164673e407a8d2bf6773af7aa0a","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-8973","chapter","type-chapter","status-publish","hentry"],"part":6633,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8973","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":10,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8973\/revisions"}],"predecessor-version":[{"id":15771,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8973\/revisions\/15771"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/parts\/6633"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/8973\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/media?parent=8973"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapter-type?post=8973"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/contributor?post=8973"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/license?post=8973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}