{"id":9535,"date":"2017-05-03T15:32:46","date_gmt":"2017-05-03T15:32:46","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9535"},"modified":"2020-05-01T23:40:04","modified_gmt":"2020-05-01T23:40:04","slug":"summary-adding-and-subtracting-fractions-with-common-denominaotrs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/summary-adding-and-subtracting-fractions-with-common-denominaotrs\/","title":{"raw":"Summary: Adding and Subtracting Fractions With Common Denominaotrs","rendered":"Summary: Adding and Subtracting Fractions With Common Denominaotrs"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-513\">\r\n \t<li><strong>Fraction Addition<\/strong>\r\n<ul id=\"eip-id1170326280061\">\r\n \t<li>If [latex]a,b[\/latex], and [latex]c[\/latex] are numbers where [latex]c\\ne 0[\/latex] , then [latex]{\\Large\\frac{a}{c}}+{\\Large\\frac{b}{c}}={\\Large\\frac{a+c}{c}}[\/latex] .<\/li>\r\n \t<li>To add fractions, add the numerators and place the sum over the common denominator.<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Fraction Subtraction<\/strong>\r\n<ul id=\"eip-id1170322914726\">\r\n \t<li>If [latex]a,b[\/latex], and [latex]c[\/latex] are numbers where [latex]c\\ne 0[\/latex] , then [latex]{\\Large\\frac{a}{c}}-{\\Large\\frac{b}{c}}={\\Large\\frac{a-b}{c}}[\/latex] .<\/li>\r\n \t<li>To subtract fractions, subtract the numerators and place the difference over the common denominator.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\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>","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-513\">\n<li><strong>Fraction Addition<\/strong>\n<ul id=\"eip-id1170326280061\">\n<li>If [latex]a,b[\/latex], and [latex]c[\/latex] are numbers where [latex]c\\ne 0[\/latex] , then [latex]{\\Large\\frac{a}{c}}+{\\Large\\frac{b}{c}}={\\Large\\frac{a+c}{c}}[\/latex] .<\/li>\n<li>To add fractions, add the numerators and place the sum over the common denominator.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Fraction Subtraction<\/strong>\n<ul id=\"eip-id1170322914726\">\n<li>If [latex]a,b[\/latex], and [latex]c[\/latex] are numbers where [latex]c\\ne 0[\/latex] , then [latex]{\\Large\\frac{a}{c}}-{\\Large\\frac{b}{c}}={\\Large\\frac{a-b}{c}}[\/latex] .<\/li>\n<li>To subtract fractions, subtract the numerators and place the difference over the common denominator.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\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\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-9535\">\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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