{"id":1266,"date":"2016-10-21T21:26:41","date_gmt":"2016-10-21T21:26:41","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakercollegealgebra\/?post_type=chapter&#038;p=1266"},"modified":"2017-04-04T16:08:43","modified_gmt":"2017-04-04T16:08:43","slug":"summary-rational-expressions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-wmopen-collegealgebra\/chapter\/summary-rational-expressions\/","title":{"raw":"Summary: Rational Expressions","rendered":"Summary: Rational Expressions"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>Rational expressions can be simplified by cancelling common factors in the numerator and denominator.<\/li>\r\n \t<li>We can multiply rational expressions by multiplying the numerators and multiplying the denominators.<\/li>\r\n \t<li>To divide rational expressions, multiply by the reciprocal of the second expression.<\/li>\r\n \t<li>Adding or subtracting rational expressions requires finding a common denominator.<\/li>\r\n \t<li>Complex rational expressions have fractions in the numerator or the denominator. These expressions can be simplified.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>least common denominator<\/strong> the smallest multiple that two denominators have in common\r\n\r\n<strong>rational expression<\/strong> the quotient of two polynomial expressions","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>Rational expressions can be simplified by cancelling common factors in the numerator and denominator.<\/li>\n<li>We can multiply rational expressions by multiplying the numerators and multiplying the denominators.<\/li>\n<li>To divide rational expressions, multiply by the reciprocal of the second expression.<\/li>\n<li>Adding or subtracting rational expressions requires finding a common denominator.<\/li>\n<li>Complex rational expressions have fractions in the numerator or the denominator. These expressions can be simplified.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>least common denominator<\/strong> the smallest multiple that two denominators have in common<\/p>\n<p><strong>rational expression<\/strong> the quotient of two polynomial expressions<\/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-1266\">\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>Revision and Adaptation. <strong>Provided 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><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>College Algebra. <strong>Authored by<\/strong>: Abramson, Jay et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\">http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/a>. <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\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>College Algebra. <strong>Authored by<\/strong>: OpenStax College Algebra. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface\">http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface<\/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>\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":13,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"College Algebra\",\"author\":\"OpenStax College Algebra\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@3.278:1\/Preface\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen 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