{"id":6985,"date":"2017-05-02T21:28:20","date_gmt":"2017-05-02T21:28:20","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6985"},"modified":"2020-07-02T02:46:32","modified_gmt":"2020-07-02T02:46:32","slug":"solve-equations-with-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/solve-equations-with-fractions\/","title":{"raw":"Introduction to Solving Equations Containing Fractions","rendered":"Introduction to Solving Equations Containing Fractions"},"content":{"raw":"<h2>What you'll learn to do: Use properties to solve equations that contain fractions<\/h2>\r\n[caption id=\"attachment_13197\" align=\"aligncenter\" width=\"1024\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/26222758\/3835336246_8b2a44cda3_o.jpg\"><img class=\"wp-image-13197 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/26222758\/3835336246_8b2a44cda3_o-1024x681.jpg\" alt=\"A woman writes on a notepad while two men stand nearby in an office setting\" width=\"1024\" height=\"681\" \/><\/a> Ordering lunch at the office can give you a chance to practice your math skills.[\/caption]\r\n\r\nRylee is taking lunch orders for her coworkers at the office. After taking everyone's order, she discovers that [latex]\\Large\\frac{7}{12}[\/latex] of her coworkers want a burrito. If 21 people asked for a burrito, how many people is Rylee ordering\u00a0lunch for altogether? To find out, we can make [latex]x[\/latex] equal the total number of people in her office and then set up an equation involving fractions to solve for [latex]x[\/latex]. We'll\u00a0explore how to do that\u00a0in this section.\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]144878[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/dkFIVfJTG9E\r\n\r\n2)\r\n\r\n[ohm_question]146458[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/yqdlj0lv7Cc\r\n\r\n3)\r\n\r\n[ohm_question]146557[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/xGfOlCluPDo\r\n\r\n<\/div>\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\/1XdbtPR9aoA4LWP1eqBt3XJLBqTG5mJXfw9PHwYmBO-I\" 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>What you&#8217;ll learn to do: Use properties to solve equations that contain fractions<\/h2>\n<div id=\"attachment_13197\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/26222758\/3835336246_8b2a44cda3_o.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13197\" class=\"wp-image-13197 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/26222758\/3835336246_8b2a44cda3_o-1024x681.jpg\" alt=\"A woman writes on a notepad while two men stand nearby in an office setting\" width=\"1024\" height=\"681\" \/><\/a><\/p>\n<p id=\"caption-attachment-13197\" class=\"wp-caption-text\">Ordering lunch at the office can give you a chance to practice your math skills.<\/p>\n<\/div>\n<p>Rylee is taking lunch orders for her coworkers at the office. After taking everyone&#8217;s order, she discovers that [latex]\\Large\\frac{7}{12}[\/latex] of her coworkers want a burrito. If 21 people asked for a burrito, how many people is Rylee ordering\u00a0lunch for altogether? To find out, we can make [latex]x[\/latex] equal the total number of people in her office and then set up an equation involving fractions to solve for [latex]x[\/latex]. We&#8217;ll\u00a0explore how to do that\u00a0in this section.<\/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=\"ohm144878\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144878&theme=oea&iframe_resize_id=ohm144878&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-1\" title=\"Ex: Substitute and Evaluate  Expressions x^2+3, (x+3)^2, x^2+2x+3\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/dkFIVfJTG9E?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146458\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146458&theme=oea&iframe_resize_id=ohm146458&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-2\" title=\"Ex:  Solve One Step Equations By Add and Subtract Whole Numbers (Variable on Left)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/yqdlj0lv7Cc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146557\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146557&theme=oea&iframe_resize_id=ohm146557&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Ex:  Solving One Step Equation by Add\/Subtracting Integers (Var on Left)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/xGfOlCluPDo?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\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\/1XdbtPR9aoA4LWP1eqBt3XJLBqTG5mJXfw9PHwYmBO-I\" 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-6985\">\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: 144878, 146458, 146557. <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>Lunch order. <strong>Authored by<\/strong>: Nate Grigg. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/nateone\/3835336246\/\">https:\/\/www.flickr.com\/photos\/nateone\/3835336246\/<\/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>Ex: Substitute and Evaluate Expressions x^2+3, (x+3)^2, x^2+2x+3. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/dkFIVfJTG9E\">https:\/\/youtu.be\/dkFIVfJTG9E<\/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>Ex: Solve One Step Equations By Add and Subtract Whole Numbers (Variable on Left). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/yqdlj0lv7Cc\">https:\/\/youtu.be\/yqdlj0lv7Cc<\/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>Ex: Solving One Step Equation by Add\/Subtracting Integers (Var on Left). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/xGfOlCluPDo\">https:\/\/youtu.be\/xGfOlCluPDo<\/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 class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li><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":19,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"\",\"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\":\"Lunch order\",\"author\":\"Nate Grigg\",\"organization\":\"\",\"url\":\"https:\/\/www.flickr.com\/photos\/nateone\/3835336246\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Substitute and Evaluate Expressions x^2+3, (x+3)^2, x^2+2x+3\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/dkFIVfJTG9E\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Solve One Step Equations By Add and Subtract Whole Numbers (Variable on Left)\",\"author\":\"James Sousa (Mathispower4u.com) \",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/yqdlj0lv7Cc\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Solving One Step Equation by Add\/Subtracting Integers (Var on 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GPL\"}]","CANDELA_OUTCOMES_GUID":"160d148a7a4048f78f1b5c95e96ec4b9","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-6985","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\/6985","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\/21"}],"version-history":[{"count":25,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6985\/revisions"}],"predecessor-version":[{"id":18885,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6985\/revisions\/18885"}],"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\/6985\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/media?parent=6985"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapter-type?post=6985"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/contributor?post=6985"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/license?post=6985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}