{"id":6887,"date":"2017-05-02T21:21:35","date_gmt":"2017-05-02T21:21:35","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6887"},"modified":"2020-09-03T10:53:08","modified_gmt":"2020-09-03T10:53:08","slug":"add-and-subtract-mixed-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/chapter\/add-and-subtract-mixed-numbers\/","title":{"raw":"2.6 - Introduction to Adding and Subtracting Mixed Numbers","rendered":"2.6 &#8211; Introduction to Adding and Subtracting Mixed Numbers"},"content":{"raw":"<h2>What you'll learn to do: Add and subtract mixed numbers<\/h2>\r\n[caption id=\"attachment_13046\" align=\"aligncenter\" width=\"889\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23170410\/sewing-machine-1375794_960_720.jpg\"><img class=\"wp-image-13046 \" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23170410\/sewing-machine-1375794_960_720.jpg\" alt=\"A close-up of a presser foot and needle on a sewing machine with fabric underneath it\" width=\"889\" height=\"548\" \/><\/a> We usually measure fabric in fractions of a yard.[\/caption]\r\n\r\nThanksgiving is coming up, and Kelly is planning to\u00a0sew a tablecloth for the occasion. She happened to find the perfect piece of fabric at an estate sale. It's\u00a03 1\/4 yards long, but to make the tablecloth, she only needs 2 1\/2 yards of fabric. How much fabric will she have left over? To figure this out, she'll\u00a0need to subtract mixed numbers. In this section, you'll learn how to add and subtract mixed numbers with both common and different 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\nDraw a figure to model [latex]\\Large\\frac{7}{6}[\/latex]\r\n\r\n[reveal-answer q=\"549357\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"549357\"]\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03204024\/CNX_BMath_Figure_04_01_011_img.png\"><img class=\"alignnone size-full wp-image-14362\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03204024\/CNX_BMath_Figure_04_01_011_img.png\" alt=\"\" width=\"241\" height=\"105\" \/><\/a>\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review the example below.\r\n<div class=\"textbox shaded\">\r\n\r\nUse fraction circles to make wholes using the following pieces:\r\n<ol>\r\n \t<li>[latex]4[\/latex] fourths<\/li>\r\n \t<li>[latex]5[\/latex] fifths<\/li>\r\n \t<li>[latex]6[\/latex] sixths<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"447874\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"447874\"]\r\n\r\nSolution\r\n\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220712\/CNX_BMath_Figure_04_01_015_img.png\" alt=\"Three circles are shown. The circle on the left is divided into four equal pieces. The circle in the middle is divided into five equal pieces. The circle on the right is divided into six equal pieces. Each circle says \" \/>\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n2)\r\n\r\n[ohm_question]145979[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/e6uoYVg5Q30\r\n\r\n3)\r\n\r\n[ohm_question]145980[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/p_YRBcZ4u4g\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Add and subtract mixed numbers<\/h2>\n<div id=\"attachment_13046\" style=\"width: 899px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23170410\/sewing-machine-1375794_960_720.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13046\" class=\"wp-image-13046\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23170410\/sewing-machine-1375794_960_720.jpg\" alt=\"A close-up of a presser foot and needle on a sewing machine with fabric underneath it\" width=\"889\" height=\"548\" \/><\/a><\/p>\n<p id=\"caption-attachment-13046\" class=\"wp-caption-text\">We usually measure fabric in fractions of a yard.<\/p>\n<\/div>\n<p>Thanksgiving is coming up, and Kelly is planning to\u00a0sew a tablecloth for the occasion. She happened to find the perfect piece of fabric at an estate sale. It&#8217;s\u00a03 1\/4 yards long, but to make the tablecloth, she only needs 2 1\/2 yards of fabric. How much fabric will she have left over? To figure this out, she&#8217;ll\u00a0need to subtract mixed numbers. In this section, you&#8217;ll learn how to add and subtract mixed numbers with both common and different 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>Draw a figure to model [latex]\\Large\\frac{7}{6}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q549357\">Show Solution<\/span><\/p>\n<div id=\"q549357\" 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\/03204024\/CNX_BMath_Figure_04_01_011_img.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-14362\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/03204024\/CNX_BMath_Figure_04_01_011_img.png\" alt=\"\" width=\"241\" height=\"105\" \/><\/a><\/p>\n<\/div>\n<\/div>\n<p>If you missed this problem, review the example below.<\/p>\n<div class=\"textbox shaded\">\n<p>Use fraction circles to make wholes using the following pieces:<\/p>\n<ol>\n<li>[latex]4[\/latex] fourths<\/li>\n<li>[latex]5[\/latex] fifths<\/li>\n<li>[latex]6[\/latex] sixths<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q447874\">Show Solution<\/span><\/p>\n<div id=\"q447874\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220712\/CNX_BMath_Figure_04_01_015_img.png\" alt=\"Three circles are shown. The circle on the left is divided into four equal pieces. The circle in the middle is divided into five equal pieces. The circle on the right is divided into six equal pieces. Each circle says\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm145979\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145979&theme=oea&iframe_resize_id=ohm145979&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=\"Examples: Convert an Improper Fraction to a Mixed Number\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/e6uoYVg5Q30?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm145980\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145980&theme=oea&iframe_resize_id=ohm145980&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=\"Examples:  Converting a Mixed Number to an Improper Fraction\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/p_YRBcZ4u4g?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-6887\">\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>Sewing a tablecloth. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/p-1375794\/?no_redirect\">https:\/\/pixabay.com\/p-1375794\/?no_redirect<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><li>Examples: Convert an Improper Fraction to a Mixed Number.. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/e6uoYVg5Q30\">https:\/\/youtu.be\/e6uoYVg5Q30<\/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>Examples: Converting a Mixed Number to an Improper Fraction. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/p_YRBcZ4u4g\">https:\/\/youtu.be\/p_YRBcZ4u4g<\/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>Question ID: 145979, 145980. <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, 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":21,"menu_order":28,"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\":\"Sewing a tablecloth\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/p-1375794\/?no_redirect\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Examples: Convert an Improper Fraction to a Mixed Number.\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/e6uoYVg5Q30\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Examples: Converting a Mixed Number to an Improper Fraction\",\"author\":\"James Sousa 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