{"id":6838,"date":"2017-05-02T21:06:33","date_gmt":"2017-05-02T21:06:33","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6838"},"modified":"2024-04-29T23:02:32","modified_gmt":"2024-04-29T23:02:32","slug":"add-and-subtract-fractions-with-different-denominators","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/add-and-subtract-fractions-with-different-denominators\/","title":{"raw":"Introduction to Adding and Subtracting Fractions with Different Denominators","rendered":"Introduction to Adding and Subtracting Fractions with Different Denominators"},"content":{"raw":"<h2>What you'll learn to do: Add and subtract fractions with different denominators<\/h2>\r\n[caption id=\"attachment_13109\" align=\"aligncenter\" width=\"840\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23202210\/Apple_coffee_cake.jpg\"><img class=\"wp-image-13109 \" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23202210\/Apple_coffee_cake-1024x683.jpg\" alt=\"Two pieces of coffee cake with crumb topping on a green plate\" width=\"840\" height=\"560\" \/><\/a> Does Maria have enough sugar to make her favorite coffee cake?[\/caption]\r\n\r\nHave you ever needed\u00a0to add or\u00a0subtract fractions with different denominators? One place this often comes up is in the kitchen. For example, Maria's coffee cake recipe calls for 2\/3 cup of sugar in the cake, and 1\/4 cup of sugar in the crumb topping. Maria notices she's getting low on sugar, so she wants to make sure she has enough before she starts mixing the batter. How much sugar does she need in all? To figure it out, Maria needs to add fractions with different denominators. In this section, you'll learn how to find the least common denominator and convert fractions in order to add and subtract.\r\n\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\nFind two fractions equivalent to [latex]{\\Large\\frac{5}{6}}[\/latex]\r\n\r\n[reveal-answer q=\"986803\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"986803\"]\r\n\r\nAnswers may vary. Correct answers include [latex]{\\Large\\frac{10}{12},\\frac{15}{18},\\frac{20}{24},\\frac{25}{30}}\\text{ and }{\\Large\\frac{30}{36}}[\/latex]\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/8gJS0kvtGFU\r\n\r\n2)\r\n\r\n[ohm_question]146164[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/fK7-w77cgVQ\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Add and subtract fractions with different denominators<\/h2>\n<div id=\"attachment_13109\" style=\"width: 850px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23202210\/Apple_coffee_cake.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13109\" class=\"wp-image-13109\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23202210\/Apple_coffee_cake-1024x683.jpg\" alt=\"Two pieces of coffee cake with crumb topping on a green plate\" width=\"840\" height=\"560\" \/><\/a><\/p>\n<p id=\"caption-attachment-13109\" class=\"wp-caption-text\">Does Maria have enough sugar to make her favorite coffee cake?<\/p>\n<\/div>\n<p>Have you ever needed\u00a0to add or\u00a0subtract fractions with different denominators? One place this often comes up is in the kitchen. For example, Maria&#8217;s coffee cake recipe calls for 2\/3 cup of sugar in the cake, and 1\/4 cup of sugar in the crumb topping. Maria notices she&#8217;s getting low on sugar, so she wants to make sure she has enough before she starts mixing the batter. How much sugar does she need in all? To figure it out, Maria needs to add fractions with different denominators. In this section, you&#8217;ll learn how to find the least common denominator and convert fractions in order to add and subtract.<\/p>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p>Find two fractions equivalent to [latex]{\\Large\\frac{5}{6}}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q986803\">Show Solution<\/span><\/p>\n<div id=\"q986803\" class=\"hidden-answer\" style=\"display: none\">\n<p>Answers may vary. Correct answers include [latex]{\\Large\\frac{10}{12},\\frac{15}{18},\\frac{20}{24},\\frac{25}{30}}\\text{ and }{\\Large\\frac{30}{36}}[\/latex]<\/p>\n<\/div>\n<\/div>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex: Determine Equivalent Fractions\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/8gJS0kvtGFU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146164\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146164&theme=oea&iframe_resize_id=ohm146164&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex 1: Simplify an Expression in Fraction form (Order of Operations)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/fK7-w77cgVQ?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\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-6838\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID: 146164. <strong>Authored by<\/strong>: Lumen Learning. <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>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Coffee Cake. <strong>Authored by<\/strong>: Chelsea Wa. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Apple_coffee_cake.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File:Apple_coffee_cake.jpg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Ex: Determine Equivalent Fractions. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/8gJS0kvtGFU\">https:\/\/youtu.be\/8gJS0kvtGFU<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Ex 1: Simplify an Expression in Fraction form (Order of Operations). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/fK7-w77cgVQ\">https:\/\/youtu.be\/fK7-w77cgVQ<\/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 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