{"id":6765,"date":"2017-05-02T21:14:01","date_gmt":"2017-05-02T21:14:01","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6765"},"modified":"2019-05-24T18:17:10","modified_gmt":"2019-05-24T18:17:10","slug":"multiply-and-divide-mixed-numbers-and-complex-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/multiply-and-divide-mixed-numbers-and-complex-fractions\/","title":{"raw":"Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions","rendered":"Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions"},"content":{"raw":"<h2>What you'll learn to do: Multiply and divide mixed numbers and complex fractions<\/h2>\r\n[caption id=\"attachment_12626\" align=\"aligncenter\" width=\"800\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225138\/Animal-Shelter.jpg\"><img class=\"wp-image-12626 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225138\/Animal-Shelter.jpg\" alt=\"A young man kneeling to pet several puppies in a kennel\" width=\"800\" height=\"571\" \/><\/a> Feeding dogs at an animal shelter presents an interesting division problem.[\/caption]\r\n\r\nRufus volunteers at an animal shelter. Every morning, he feeds each dog [latex]\\Large\\frac{2}{3}[\/latex] cup of food. If each bag of dog food contains [latex]25\\Large\\frac{1}{3}[\/latex] cups of food, how many dogs can he feed with each bag? This may sound like a simple division problem, but Rufus will need to figure out how to deal with a mixed number, [latex]25\\Large\\frac{1}{3}[\/latex], before he can find the answer. In this section, you'll learn how to multiply and divide with\u00a0mixed numbers and complex fractions.\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]144758[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/qFUvF5-w9o0\r\n\r\n2)\r\n\r\n[ohm_question]146021[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/f_L-EFC8Z7c\r\n\r\n3)\r\n\r\n[ohm_question]145980[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/p_YRBcZ4u4g\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Multiply and divide mixed numbers and complex fractions<\/h2>\n<div id=\"attachment_12626\" style=\"width: 810px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225138\/Animal-Shelter.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-12626\" class=\"wp-image-12626 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/21225138\/Animal-Shelter.jpg\" alt=\"A young man kneeling to pet several puppies in a kennel\" width=\"800\" height=\"571\" \/><\/a><\/p>\n<p id=\"caption-attachment-12626\" class=\"wp-caption-text\">Feeding dogs at an animal shelter presents an interesting division problem.<\/p>\n<\/div>\n<p>Rufus volunteers at an animal shelter. Every morning, he feeds each dog [latex]\\Large\\frac{2}{3}[\/latex] cup of food. If each bag of dog food contains [latex]25\\Large\\frac{1}{3}[\/latex] cups of food, how many dogs can he feed with each bag? This may sound like a simple division problem, but Rufus will need to figure out how to deal with a mixed number, [latex]25\\Large\\frac{1}{3}[\/latex], before he can find the answer. In this section, you&#8217;ll learn how to multiply and divide with\u00a0mixed numbers and complex fractions.<\/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=\"ohm144758\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144758&theme=oea&iframe_resize_id=ohm144758&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=\"Ex: Evaluate an Expression Using the Order of Operations\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qFUvF5-w9o0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146021\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146021&theme=oea&iframe_resize_id=ohm146021&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex 1: Multiply Fractions (Basic)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/f_L-EFC8Z7c?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 this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" 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-6765\">\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: 144758, 146021, 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, Shared previously<\/div><ul class=\"citation-list\"><li>Animal Shelter. <strong>Authored by<\/strong>: US Navy. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File:US_Navy_110618-N-UE250-057_Boatswain%27s_Mate_3rd_Justin_Bey_plays_with_a_kennel_of_puppies_at_the_Guam_Animals_In_Need_(GAIN)_animal_shelter.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File:US_Navy_110618-N-UE250-057_Boatswain%27s_Mate_3rd_Justin_Bey_plays_with_a_kennel_of_puppies_at_the_Guam_Animals_In_Need_(GAIN)_animal_shelter.jpg<\/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>Ex 1: Multiply Fractions (Basic). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/f_L-EFC8Z7c\">https:\/\/youtu.be\/f_L-EFC8Z7c<\/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>Example 3: Evaluate An Expression Using The Order of Operation. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <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":21,"menu_order":14,"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\":\"Animal Shelter\",\"author\":\"US Navy\",\"organization\":\"\",\"url\":\"https:\/\/commons.wikimedia.org\/wiki\/File:US_Navy_110618-N-UE250-057_Boatswain%27s_Mate_3rd_Justin_Bey_plays_with_a_kennel_of_puppies_at_the_Guam_Animals_In_Need_(GAIN)_animal_shelter.jpg\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex 1: Multiply Fractions (Basic)\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/f_L-EFC8Z7c\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Examples: Converting a Mixed Number to an Improper Fraction\",\"author\":\"James Sousa (Mathispower4u.com) \",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/p_YRBcZ4u4g\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Example 3: Evaluate An Expression Using The Order of Operation\",\"author\":\"James Sousa 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