{"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":"2020-07-02T02:46:31","modified_gmt":"2020-07-02T02:46:31","slug":"summary-adding-and-subtracting-fractions-with-common-denominaotrs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/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 data-type=\"title\">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<h2>Contribute!<\/h2><div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div><a href=\"https:\/\/docs.google.com\/document\/d\/17M9UdZBhHJkvQqXtnC4y7E4lM4WjkRd50LYHSR1LEEw\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a>","rendered":"<h2 data-type=\"title\">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<h2>Contribute!<\/h2>\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/17M9UdZBhHJkvQqXtnC4y7E4lM4WjkRd50LYHSR1LEEw\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a><\/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-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 <\/section>","protected":false},"author":17533,"menu_order":13,"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\"}]","CANDELA_OUTCOMES_GUID":"0f680d3958dd41e08f6f5f208f58e3ea","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9535","chapter","type-chapter","status-publish","hentry"],"part":6633,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/9535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":8,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/9535\/revisions"}],"predecessor-version":[{"id":15744,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/9535\/revisions\/15744"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/parts\/6633"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/9535\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/media?parent=9535"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapter-type?post=9535"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/contributor?post=9535"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/license?post=9535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}