{"id":9527,"date":"2017-05-03T15:27:26","date_gmt":"2017-05-03T15:27:26","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9527"},"modified":"2020-05-01T23:39:22","modified_gmt":"2020-05-01T23:39:22","slug":"summary-multiplying-and-dividing-mixed-numbers-and-complex-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/summary-multiplying-and-dividing-mixed-numbers-and-complex-fractions\/","title":{"raw":"Summary: Multiplying and Dividing Mixed Numbers and Complex Fractions","rendered":"Summary: Multiplying and Dividing Mixed Numbers and Complex Fractions"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-604\">\r\n \t<li><strong>Multiply or divide mixed numbers.<\/strong>\r\n<ol id=\"eip-id1170326533660\" 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<\/li>\r\n \t<li><strong>Simplify a complex fraction.<\/strong>\r\n<ol id=\"eip-id1170323812308\" class=\"stepwise\">\r\n \t<li>Rewrite the complex fraction as a division problem.<\/li>\r\n \t<li>Follow the rules for dividing fractions.<\/li>\r\n \t<li>Simplify if possible.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Placement of negative sign in a fraction.<\/strong>\r\n<ul id=\"eip-id1170324001139\">\r\n \t<li>For any positive numbers [latex]a[\/latex] and [latex]b[\/latex] , [latex]{\\Large\\frac{-a}{b}}={\\Large\\frac{a}{-b}}={\\Large-\\frac{a}{b}}[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Simplify an expression with a fraction bar.<\/strong>\r\n<ol id=\"eip-id1170325386880\" class=\"stepwise\">\r\n \t<li>Simplify the numerator.<\/li>\r\n \t<li>Simplify the denominator.<\/li>\r\n \t<li>Simplify the fraction.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl id=\"fs-id4224324\" class=\"definition\">\r\n \t<dt>complex fraction<\/dt>\r\n \t<dd id=\"fs-id2266447\">A complex fraction is a fraction in which the numerator or the denominator contains a fraction.<\/dd>\r\n<\/dl>\r\n<h1 style=\"text-align: center\"><strong><span style=\"color: #ff0000\">STOP!<\/span><\/strong><\/h1>\r\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\">You have now completed this section.\u00a0 Go back to your course menu and complete the Practice Problems for this section<\/span><\/h1>\r\n&nbsp;\r\n<h2><\/h2>","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-604\">\n<li><strong>Multiply or divide mixed numbers.<\/strong>\n<ol id=\"eip-id1170326533660\" 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<\/li>\n<li><strong>Simplify a complex fraction.<\/strong>\n<ol id=\"eip-id1170323812308\" class=\"stepwise\">\n<li>Rewrite the complex fraction as a division problem.<\/li>\n<li>Follow the rules for dividing fractions.<\/li>\n<li>Simplify if possible.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Placement of negative sign in a fraction.<\/strong>\n<ul id=\"eip-id1170324001139\">\n<li>For any positive numbers [latex]a[\/latex] and [latex]b[\/latex] , [latex]{\\Large\\frac{-a}{b}}={\\Large\\frac{a}{-b}}={\\Large-\\frac{a}{b}}[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li><strong>Simplify an expression with a fraction bar.<\/strong>\n<ol id=\"eip-id1170325386880\" class=\"stepwise\">\n<li>Simplify the numerator.<\/li>\n<li>Simplify the denominator.<\/li>\n<li>Simplify the fraction.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id4224324\" class=\"definition\">\n<dt>complex fraction<\/dt>\n<dd id=\"fs-id2266447\">A complex fraction is a fraction in which the numerator or the denominator contains a fraction.<\/dd>\n<\/dl>\n<h1 style=\"text-align: center\"><strong><span style=\"color: #ff0000\">STOP!<\/span><\/strong><\/h1>\n<h1 style=\"text-align: center\"><span style=\"color: #ff0000\">You have now completed this section.\u00a0 Go back to your course menu and complete the Practice Problems for this section<\/span><\/h1>\n<p>&nbsp;<\/p>\n<h2><\/h2>\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-9527\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><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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