{"id":6787,"date":"2017-05-02T20:47:46","date_gmt":"2017-05-02T20:47:46","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6787"},"modified":"2020-07-02T02:46:30","modified_gmt":"2020-07-02T02:46:30","slug":"add-and-subtract-fractions-with-common-denominators","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/add-and-subtract-fractions-with-common-denominators\/","title":{"raw":"Introduction to Adding and Subtracting Fractions With Common Denominators","rendered":"Introduction to Adding and Subtracting Fractions With Common Denominators"},"content":{"raw":"<h2>What you'll learn to do: Add and subtract fractions with common denominators<\/h2>\r\n[caption id=\"attachment_12630\" align=\"aligncenter\" width=\"858\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225608\/Math-Class.jpg\"><img class=\"wp-image-12630 \" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225608\/Math-Class-1024x686.jpg\" alt=\"A classroom with a teacher standing in front of a chalkboard with math problems written on it, while students watch him\" width=\"858\" height=\"574\" \/><\/a> What fraction of students did well on the latest test?[\/caption]\r\n\r\nIn math class, Mike's teacher shares that [latex]\\Large\\frac{1}{8}[\/latex] of the students received an A on the latest test and 3\/8 of the students received a B. Mike wants to figure out what fraction of the class got either an A or B on the test. To do this, he'll have to add fractions. In this section, we'll\u00a0use models to explore how to add and subtract fractions with common denominators.\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\n[ohm_question]144900[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/KMUCQ_Pwt7o\r\n\r\n2)\r\n\r\nDraw a model of the fraction [latex]\\Large\\frac{3}{4}[\/latex].\r\n\r\n[reveal-answer q=\"503951\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"503951\"]\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03191956\/CNX_BMath_Figure_04_01_009_01.png\"><img class=\"alignnone size-full wp-image-14338\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03191956\/CNX_BMath_Figure_04_01_009_01.png\" alt=\"\" width=\"118\" height=\"118\" \/><\/a>\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/akyByv80Uzc\r\n\r\n3)\r\n\r\n[ohm_question]146163[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/eF_jiZvb79w\r\n\r\n<\/div>\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\/1cZeVgy16_CRFdjV3p-Fb2RsiFkTn5HzYdDokV2feCf8\" 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>What you&#8217;ll learn to do: Add and subtract fractions with common denominators<\/h2>\n<div id=\"attachment_12630\" style=\"width: 868px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225608\/Math-Class.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-12630\" class=\"wp-image-12630\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225608\/Math-Class-1024x686.jpg\" alt=\"A classroom with a teacher standing in front of a chalkboard with math problems written on it, while students watch him\" width=\"858\" height=\"574\" \/><\/a><\/p>\n<p id=\"caption-attachment-12630\" class=\"wp-caption-text\">What fraction of students did well on the latest test?<\/p>\n<\/div>\n<p>In math class, Mike&#8217;s teacher shares that [latex]\\Large\\frac{1}{8}[\/latex] of the students received an A on the latest test and 3\/8 of the students received a B. Mike wants to figure out what fraction of the class got either an A or B on the test. To do this, he&#8217;ll have to add fractions. In this section, we&#8217;ll\u00a0use models to explore how to add and subtract fractions with common denominators.<\/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><iframe loading=\"lazy\" id=\"ohm144900\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144900&theme=oea&iframe_resize_id=ohm144900&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Simplify Expressions by Combining Like Terms (No Negatives)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/KMUCQ_Pwt7o?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p>Draw a model of the fraction [latex]\\Large\\frac{3}{4}[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q503951\">Show Solution<\/span><\/p>\n<div id=\"q503951\" class=\"hidden-answer\" style=\"display: none\">\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03191956\/CNX_BMath_Figure_04_01_009_01.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-14338\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03191956\/CNX_BMath_Figure_04_01_009_01.png\" alt=\"\" width=\"118\" height=\"118\" \/><\/a><\/p>\n<\/div>\n<\/div>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Draw Models of Fractions and Explain the Meaning of the Fraction\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/akyByv80Uzc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146163\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146163&theme=oea&iframe_resize_id=ohm146163&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Simplify Basic Expressions in Fraction Form\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eF_jiZvb79w?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\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\/1cZeVgy16_CRFdjV3p-Fb2RsiFkTn5HzYdDokV2feCf8\" 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-6787\">\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>Simplify Expressions by Combining Like Terms (No Negatives). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/KMUCQ_Pwt7o\">https:\/\/youtu.be\/KMUCQ_Pwt7o<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em><\/li><li>Question ID: 144900, 146163. <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>Math Classroom. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Math_class_in_Da_Ji_Junior_High_School_2006-12-1.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File:Math_class_in_Da_Ji_Junior_High_School_2006-12-1.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>Simplify Basic Expressions in Fraction Form. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/eF_jiZvb79w\">https:\/\/youtu.be\/eF_jiZvb79w<\/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>Draw Models of Fractions and Explain the Meaning of the Fraction. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/akyByv80Uzc\">https:\/\/youtu.be\/akyByv80Uzc<\/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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