{"id":9524,"date":"2017-05-03T15:26:47","date_gmt":"2017-05-03T15:26:47","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9524"},"modified":"2020-09-03T10:48:45","modified_gmt":"2020-09-03T10:48:45","slug":"multiplying-and-dividing-mixed-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/chapter\/multiplying-and-dividing-mixed-numbers\/","title":{"raw":"2.3.a - Multiplying and Dividing Mixed Numbers","rendered":"2.3.a &#8211; Multiplying and Dividing Mixed Numbers"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Multiply and divide mixed numbers<\/li>\r\n<\/ul>\r\n<\/div>\r\nIn the previous section, you learned <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/multiplying-fractions\/\">how to multiply fractions<\/a> and <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/read-dividing-fractions-2\/\">how to divide fractions<\/a>. All of the examples there used either proper or improper fractions. What happens when you are asked to multiply or divide mixed numbers? <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/converting-between-improper-fractions-and-mixed-numbers\/\">Remember that we can convert a mixed number to an improper fraction<\/a>.\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nMultiply: [latex]3\\Large\\frac{1}{3}\\cdot \\frac{5}{8}[\/latex]\r\n\r\nSolution:\r\n<table id=\"eip-id1168469856328\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]3\\Large\\frac{1}{3}\\cdot \\frac{5}{8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert [latex]\\Large3\\frac{1}{3}[\/latex] to an improper fraction.<\/td>\r\n<td>[latex]\\Large\\frac{10}{3}\\cdot \\frac{5}{8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]\\Large\\frac{10\\cdot 5}{3\\cdot 8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Look for common factors.<\/td>\r\n<td>[latex]\\Large\\frac{\\color{red}{2}\\cdot 5\\cdot 5}{3\\cdot \\color{red}{2} \\cdot 4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large\\frac{5\\cdot 5}{3\\cdot 4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large\\frac{25}{12}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\nNotice that we left the answer as an improper fraction, [latex]\\Large\\frac{25}{12}[\/latex], and did not convert it to a mixed number. In algebra, it is preferable to write answers as improper fractions instead of mixed numbers. This avoids any possible confusion between [latex]2\\Large\\frac{1}{12}[\/latex] and [latex]2\\cdot\\Large\\frac{1}{12}[\/latex] (which are <em>not<\/em> equal!).\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try it<\/h3>\r\n[ohm_question height=\"270\"]146092[\/ohm_question]\r\n\r\n<\/div>\r\nWatch the following video for another example of how to multiply a mixed number by a fraction.\r\n\r\nhttps:\/\/youtu.be\/SvTd_ZxvqCM\r\n<div class=\"textbox shaded\">\r\n<h3>Multiply or divide mixed numbers<\/h3>\r\n<ol id=\"eip-id1168468257930\" class=\"stepwise\">\r\n \t<li>Convert the mixed numbers to improper fractions.<\/li>\r\n \t<li>Follow the rules for fraction multiplication or division.<\/li>\r\n \t<li>Simplify if possible.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nMultiply, and write your answer in simplified form: [latex]2\\Large\\frac{4}{5}\\left(\\normalsize -1\\Large\\frac{7}{8}\\right)[\/latex]\r\n[reveal-answer q=\"859815\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"859815\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168468531210\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]2\\Large\\frac{4}{5}\\left(\\normalsize -1\\Large\\frac{7}{8}\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert mixed numbers to improper fractions.<\/td>\r\n<td>[latex]\\Large\\frac{14}{5}\\left(-\\frac{15}{8}\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]\\Large-\\frac{14\\cdot 15}{5\\cdot 8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Look for common factors.<\/td>\r\n<td>[latex]\\Large-\\frac{\\color{red}{2} \\cdot 7\\cdot \\color{red}{5} \\cdot 3}{\\color{red}{5} \\cdot \\color{red}{2}\\cdot 4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large-\\frac{7\\cdot 3}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large-\\frac{21}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146160[\/ohm_question]\r\n\r\n<\/div>\r\nIn the following video we show more examples of how to multiply mixed numbers that are negative.\r\n\r\nhttps:\/\/youtu.be\/ahTOIf0fkOc\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nDivide, and write your answer in simplified form: [latex]3\\Large\\frac{4}{7}\\normalsize\\div 5[\/latex]\r\n[reveal-answer q=\"69025\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"69025\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168467104894\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]3\\Large\\frac{4}{7}\\normalsize\\div 5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert mixed numbers to improper fractions.<\/td>\r\n<td>[latex]\\Large\\frac{25}{7}\\normalsize\\div\\Large\\frac{5}{1}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply the first fraction by the reciprocal of the second.<\/td>\r\n<td>[latex]\\Large\\frac{25}{7}\\cdot \\frac{1}{5}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]\\Large\\frac{25\\cdot 1}{7\\cdot 5}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Look for common factors.<\/td>\r\n<td>[latex]\\Large\\frac{\\color{red}{5} \\cdot 5\\cdot 1}{7\\cdot \\color{red}{5} }[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large\\frac{5\\cdot 1}{7}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large\\frac{5}{7}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146099[\/ohm_question]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nDivide: [latex]2\\Large\\frac{1}{2}\\normalsize\\div 1\\Large\\frac{1}{4}[\/latex]\r\n[reveal-answer q=\"403899\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"403899\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168468240496\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]2\\Large\\frac{1}{2}\\normalsize\\div 1\\Large\\frac{1}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert mixed numbers to improper fractions.<\/td>\r\n<td>[latex]\\Large\\frac{5}{2}\\normalsize\\div\\Large\\frac{5}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply the first fraction by the reciprocal of the second.<\/td>\r\n<td>[latex]\\Large\\frac{5}{2}\\cdot \\frac{4}{5}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]\\Large\\frac{5\\cdot 4}{2\\cdot 5}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Look for common factors.<\/td>\r\n<td>[latex]\\Large\\frac{\\color{red}{5} \\cdot \\color{red}{2} \\cdot 2}{\\color{red}{2} \\cdot 1\\cdot \\color{red}{5}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large\\frac{2}{1}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146100[\/ohm_question]\r\n\r\n<\/div>\r\nThe next video provides several more examples of dividing mixed numbers, whole numbers and fractions.\r\n\r\nhttps:\/\/youtu.be\/zw7WdhQnXHw","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Multiply and divide mixed numbers<\/li>\n<\/ul>\n<\/div>\n<p>In the previous section, you learned <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/multiplying-fractions\/\">how to multiply fractions<\/a> and <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/read-dividing-fractions-2\/\">how to divide fractions<\/a>. All of the examples there used either proper or improper fractions. What happens when you are asked to multiply or divide mixed numbers? <a href=\"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/converting-between-improper-fractions-and-mixed-numbers\/\">Remember that we can convert a mixed number to an improper fraction<\/a>.<\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Multiply: [latex]3\\Large\\frac{1}{3}\\cdot \\frac{5}{8}[\/latex]<\/p>\n<p>Solution:<\/p>\n<table id=\"eip-id1168469856328\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]3\\Large\\frac{1}{3}\\cdot \\frac{5}{8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert [latex]\\Large3\\frac{1}{3}[\/latex] to an improper fraction.<\/td>\n<td>[latex]\\Large\\frac{10}{3}\\cdot \\frac{5}{8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]\\Large\\frac{10\\cdot 5}{3\\cdot 8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Look for common factors.<\/td>\n<td>[latex]\\Large\\frac{\\color{red}{2}\\cdot 5\\cdot 5}{3\\cdot \\color{red}{2} \\cdot 4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large\\frac{5\\cdot 5}{3\\cdot 4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large\\frac{25}{12}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>Notice that we left the answer as an improper fraction, [latex]\\Large\\frac{25}{12}[\/latex], and did not convert it to a mixed number. In algebra, it is preferable to write answers as improper fractions instead of mixed numbers. This avoids any possible confusion between [latex]2\\Large\\frac{1}{12}[\/latex] and [latex]2\\cdot\\Large\\frac{1}{12}[\/latex] (which are <em>not<\/em> equal!).<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>Try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146092\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146092&theme=oea&iframe_resize_id=ohm146092&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<p>Watch the following video for another example of how to multiply a mixed number by a fraction.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Model the Product of a Fraction and Mixed Number Using Fraction Bars\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/SvTd_ZxvqCM?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox shaded\">\n<h3>Multiply or divide mixed numbers<\/h3>\n<ol id=\"eip-id1168468257930\" class=\"stepwise\">\n<li>Convert the mixed numbers to improper fractions.<\/li>\n<li>Follow the rules for fraction multiplication or division.<\/li>\n<li>Simplify if possible.<\/li>\n<\/ol>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Multiply, and write your answer in simplified form: [latex]2\\Large\\frac{4}{5}\\left(\\normalsize -1\\Large\\frac{7}{8}\\right)[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q859815\">Show Solution<\/span><\/p>\n<div id=\"q859815\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168468531210\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>[latex]2\\Large\\frac{4}{5}\\left(\\normalsize -1\\Large\\frac{7}{8}\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert mixed numbers to improper fractions.<\/td>\n<td>[latex]\\Large\\frac{14}{5}\\left(-\\frac{15}{8}\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]\\Large-\\frac{14\\cdot 15}{5\\cdot 8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Look for common factors.<\/td>\n<td>[latex]\\Large-\\frac{\\color{red}{2} \\cdot 7\\cdot \\color{red}{5} \\cdot 3}{\\color{red}{5} \\cdot \\color{red}{2}\\cdot 4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large-\\frac{7\\cdot 3}{4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large-\\frac{21}{4}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146160\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146160&theme=oea&iframe_resize_id=ohm146160&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<p>In the following video we show more examples of how to multiply mixed numbers that are negative.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex 2:  Multiplying Signed Mixed Number\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/ahTOIf0fkOc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Divide, and write your answer in simplified form: [latex]3\\Large\\frac{4}{7}\\normalsize\\div 5[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q69025\">Show Solution<\/span><\/p>\n<div id=\"q69025\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168467104894\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]3\\Large\\frac{4}{7}\\normalsize\\div 5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert mixed numbers to improper fractions.<\/td>\n<td>[latex]\\Large\\frac{25}{7}\\normalsize\\div\\Large\\frac{5}{1}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply the first fraction by the reciprocal of the second.<\/td>\n<td>[latex]\\Large\\frac{25}{7}\\cdot \\frac{1}{5}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]\\Large\\frac{25\\cdot 1}{7\\cdot 5}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Look for common factors.<\/td>\n<td>[latex]\\Large\\frac{\\color{red}{5} \\cdot 5\\cdot 1}{7\\cdot \\color{red}{5} }[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large\\frac{5\\cdot 1}{7}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large\\frac{5}{7}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146099\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146099&theme=oea&iframe_resize_id=ohm146099&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Divide: [latex]2\\Large\\frac{1}{2}\\normalsize\\div 1\\Large\\frac{1}{4}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q403899\">Show Solution<\/span><\/p>\n<div id=\"q403899\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168468240496\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>[latex]2\\Large\\frac{1}{2}\\normalsize\\div 1\\Large\\frac{1}{4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert mixed numbers to improper fractions.<\/td>\n<td>[latex]\\Large\\frac{5}{2}\\normalsize\\div\\Large\\frac{5}{4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply the first fraction by the reciprocal of the second.<\/td>\n<td>[latex]\\Large\\frac{5}{2}\\cdot \\frac{4}{5}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]\\Large\\frac{5\\cdot 4}{2\\cdot 5}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Look for common factors.<\/td>\n<td>[latex]\\Large\\frac{\\color{red}{5} \\cdot \\color{red}{2} \\cdot 2}{\\color{red}{2} \\cdot 1\\cdot \\color{red}{5}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large\\frac{2}{1}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]2[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146100\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146100&theme=oea&iframe_resize_id=ohm146100&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<p>The next video provides several more examples of dividing mixed numbers, whole numbers and fractions.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Division of Fractions Using Formal Rules\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zw7WdhQnXHw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/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-9524\">\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: 146092, 146160, 146099, 146100. <strong>Authored by<\/strong>: Alyson Day. <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>Model the Product of a Fraction and Mixed Number Using Fraction Bars. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/SvTd_ZxvqCM\">https:\/\/youtu.be\/SvTd_ZxvqCM<\/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>Division of Fractions Using Formal Rules. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/zw7WdhQnXHw\">https:\/\/youtu.be\/zw7WdhQnXHw<\/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":15,"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\":\"Model the Product of a Fraction and Mixed Number 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