{"id":9526,"date":"2017-05-03T15:27:07","date_gmt":"2017-05-03T15:27:07","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9526"},"modified":"2017-12-08T20:46:07","modified_gmt":"2017-12-08T20:46:07","slug":"simplifying-an-expression-with-a-fraction-bar","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/simplifying-an-expression-with-a-fraction-bar\/","title":{"raw":"Simplifying an Expression With a Fraction Bar","rendered":"Simplifying an Expression With a Fraction Bar"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Identify negative fractions that are equivalent given that their negative sign is in a different location<\/li>\r\n \t<li>Simplify expressions that contain fraction bars using the order of operations<\/li>\r\n<\/ul>\r\n<\/div>\r\n<p data-type=\"title\">Where does the negative sign go in a fraction? Usually, the negative sign is placed in front of the fraction, but you will sometimes see a fraction with a negative numerator or denominator. Remember that fractions represent division. The fraction [latex]\\Large-\\frac{1}{3}[\/latex] could be the result of dividing [latex]\\Large\\frac{-1}{3}[\/latex], a negative by a positive, or of dividing [latex]\\Large\\frac{1}{-3}[\/latex], a positive by a negative. When the numerator and denominator have different signs, the quotient is negative.<\/p>\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220944\/CNX_BMath_Figure_04_03_001_img.png\" alt=\"Negative 1 over positive 3 is equal to negative one third. Negative over positive equals negative. Positive 1 over negative 3 is equal to negative one third. Positive over negative equals negative.\" data-media-type=\"image\/png\" \/>\r\nIf <em data-effect=\"italics\">both<\/em> the numerator and denominator are negative, then the fraction itself is positive because we are dividing a negative by a negative.\r\n<p style=\"text-align: center;\">[latex]\\Large\\frac{-1}{-3}\\normalsize=\\Large\\frac{1}{3}\\quad\\quad\\normalsize\\Large\\frac{\\text{negative}}{\\text{negative}}=\\text{positive}[\/latex]<\/p>\r\n\r\n<div class=\"textbox shaded\">\r\n<h3>Placement of Negative Sign in a Fraction<\/h3>\r\nFor any positive numbers [latex]a\\text{ and }b[\/latex],\r\n<p style=\"text-align: center;\">[latex]\\Large\\frac{-a}{b}\\normalsize=\\Large\\frac{a}{-b}\\normalsize=\\Large-\\frac{a}{b}[\/latex]<\/p>\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nWhich of the following fractions are equivalent to [latex]\\Large\\frac{7}{-8}[\/latex]?\r\n\r\n[latex]\\Large\\frac{-7}{-8},\\frac{-7}{8},\\frac{7}{8},-\\frac{7}{8}[\/latex]\r\n\r\nSolution:\r\nThe quotient of a positive and a negative is a negative, so [latex]\\Large\\frac{7}{-8}[\/latex] is negative. Of the fractions listed, [latex]\\Large\\frac{-7}{8},-\\frac{7}{8}[\/latex] are also negative.\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question height=\"270\"]146162[\/ohm_question]\r\n\r\n<\/div>\r\n<h2>Simplifying an Expression With a Fraction Bar<\/h2>\r\nFraction bars act as grouping symbols. The expressions above and below the fraction bar should be treated as if they were in parentheses. For example, [latex]\\Large\\frac{4+8}{5 - 3}[\/latex] means [latex]\\left(4+8\\right)\\div\\left(5 - 3\\right)[\/latex]. The order of operations tells us to simplify the numerator and the denominator first\u2014as if there were parentheses\u2014before we divide.\r\n\r\nWe\u2019ll add fraction bars to our set of grouping symbols from Use the Language of Algebra to have a more complete set here.\r\n<div class=\"textbox shaded\">\r\n<h3>Grouping Symbols<\/h3>\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220946\/CNX_BMath_Figure_04_03_002_img.png\" alt=\"Parentheses, brackets, braces, an absolute value sign, and a fraction bar are shown.\" data-media-type=\"image\/png\" \/>\r\n\r\n<\/div>\r\n<div class=\"textbox shaded\">\r\n<h3>Simplify an expression with a fraction bar<\/h3>\r\n<ol id=\"eip-id1168467312752\" class=\"stepwise\" data-number-style=\"arabic\">\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<\/div>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSimplify: [latex]\\Large\\frac{4+8}{5 - 3}[\/latex]\r\n[reveal-answer q=\"735944\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"735944\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168468328592\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]\\Large\\frac{4+8}{5 - 3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the expression in the numerator.<\/td>\r\n<td>[latex]\\Large\\frac{12}{5 - 3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the expression in the denominator.<\/td>\r\n<td>[latex]\\Large\\frac{12}{2}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td>[latex]6[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146163[\/ohm_question]\r\n\r\n<\/div>\r\nthe following video provides another example of how to simplify various expressions that contain a fraction bar.\r\n\r\nhttps:\/\/youtu.be\/eF_jiZvb79w\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSimplify: [latex]\\Large\\frac{4 - 2\\left(3\\right)}{{2}^{2}+2}[\/latex]\r\n[reveal-answer q=\"176453\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"176453\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168466112842\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]\\Large\\frac{4 - 2\\left(3\\right)}{{2}^{2}+2}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use the order of operations. Multiply in the numerator and use the exponent in the denominator.<\/td>\r\n<td>[latex]\\Large\\frac{4 - 6}{4+2}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the numerator and the denominator.<\/td>\r\n<td>[latex]\\Large\\frac{-2}{6}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td>[latex]\\Large-\\frac{1}{3}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146164[\/ohm_question]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSimplify: [latex]\\Large\\frac{{\\left(8 - 4\\right)}^{2}}{{8}^{2}-{4}^{2}}[\/latex]\r\n[reveal-answer q=\"724012\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"724012\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168468576501\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]\\Large\\frac{{\\left(8 - 4\\right)}^{2}}{{8}^{2}-{4}^{2}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use the order of operations (parentheses first, then exponents).<\/td>\r\n<td>[latex]\\Large\\frac{{\\left(4\\right)}^{2}}{64 - 16}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the numerator and denominator.<\/td>\r\n<td>[latex]\\Large\\frac{16}{48}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td>[latex]\\Large\\frac{1}{3}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146165[\/ohm_question]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox exercises\">\r\n<h3>Example<\/h3>\r\nSimplify: [latex]\\Large\\frac{4\\left(-3\\right)+6\\left(-2\\right)}{-3\\left(2\\right)-2}[\/latex]\r\n[reveal-answer q=\"414011\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"414011\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168468477542\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]\\Large\\frac{4\\left(-3\\right)+6\\left(-2\\right)}{-3\\left(2\\right)-2}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]\\Large\\frac{-12+\\left(-12\\right)}{-6 - 2}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large\\frac{-24}{-8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide.<\/td>\r\n<td>[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h3><\/h3>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question height=\"270\"]146167[\/ohm_question]\r\n\r\n<\/div>\r\nWatch this video to see another example of how to simplify an expression with a fraction bar that contains several different operations.\r\n\r\nhttps:\/\/youtu.be\/fK7-w77cgVQ","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Identify negative fractions that are equivalent given that their negative sign is in a different location<\/li>\n<li>Simplify expressions that contain fraction bars using the order of operations<\/li>\n<\/ul>\n<\/div>\n<p data-type=\"title\">Where does the negative sign go in a fraction? Usually, the negative sign is placed in front of the fraction, but you will sometimes see a fraction with a negative numerator or denominator. Remember that fractions represent division. The fraction [latex]\\Large-\\frac{1}{3}[\/latex] could be the result of dividing [latex]\\Large\\frac{-1}{3}[\/latex], a negative by a positive, or of dividing [latex]\\Large\\frac{1}{-3}[\/latex], a positive by a negative. When the numerator and denominator have different signs, the quotient is negative.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220944\/CNX_BMath_Figure_04_03_001_img.png\" alt=\"Negative 1 over positive 3 is equal to negative one third. Negative over positive equals negative. Positive 1 over negative 3 is equal to negative one third. Positive over negative equals negative.\" data-media-type=\"image\/png\" \/><br \/>\nIf <em data-effect=\"italics\">both<\/em> the numerator and denominator are negative, then the fraction itself is positive because we are dividing a negative by a negative.<\/p>\n<p style=\"text-align: center;\">[latex]\\Large\\frac{-1}{-3}\\normalsize=\\Large\\frac{1}{3}\\quad\\quad\\normalsize\\Large\\frac{\\text{negative}}{\\text{negative}}=\\text{positive}[\/latex]<\/p>\n<div class=\"textbox shaded\">\n<h3>Placement of Negative Sign in a Fraction<\/h3>\n<p>For any positive numbers [latex]a\\text{ and }b[\/latex],<\/p>\n<p style=\"text-align: center;\">[latex]\\Large\\frac{-a}{b}\\normalsize=\\Large\\frac{a}{-b}\\normalsize=\\Large-\\frac{a}{b}[\/latex]<\/p>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Which of the following fractions are equivalent to [latex]\\Large\\frac{7}{-8}[\/latex]?<\/p>\n<p>[latex]\\Large\\frac{-7}{-8},\\frac{-7}{8},\\frac{7}{8},-\\frac{7}{8}[\/latex]<\/p>\n<p>Solution:<br \/>\nThe quotient of a positive and a negative is a negative, so [latex]\\Large\\frac{7}{-8}[\/latex] is negative. Of the fractions listed, [latex]\\Large\\frac{-7}{8},-\\frac{7}{8}[\/latex] are also negative.<\/p>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146162\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146162&theme=oea&iframe_resize_id=ohm146162&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<h2>Simplifying an Expression With a Fraction Bar<\/h2>\n<p>Fraction bars act as grouping symbols. The expressions above and below the fraction bar should be treated as if they were in parentheses. For example, [latex]\\Large\\frac{4+8}{5 - 3}[\/latex] means [latex]\\left(4+8\\right)\\div\\left(5 - 3\\right)[\/latex]. The order of operations tells us to simplify the numerator and the denominator first\u2014as if there were parentheses\u2014before we divide.<\/p>\n<p>We\u2019ll add fraction bars to our set of grouping symbols from Use the Language of Algebra to have a more complete set here.<\/p>\n<div class=\"textbox shaded\">\n<h3>Grouping Symbols<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220946\/CNX_BMath_Figure_04_03_002_img.png\" alt=\"Parentheses, brackets, braces, an absolute value sign, and a fraction bar are shown.\" data-media-type=\"image\/png\" \/><\/p>\n<\/div>\n<div class=\"textbox shaded\">\n<h3>Simplify an expression with a fraction bar<\/h3>\n<ol id=\"eip-id1168467312752\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Simplify the numerator.<\/li>\n<li>Simplify the denominator.<\/li>\n<li>Simplify the fraction.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Simplify: [latex]\\Large\\frac{4+8}{5 - 3}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q735944\">Show Solution<\/span><\/p>\n<div id=\"q735944\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168468328592\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]\\Large\\frac{4+8}{5 - 3}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the expression in the numerator.<\/td>\n<td>[latex]\\Large\\frac{12}{5 - 3}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the expression in the denominator.<\/td>\n<td>[latex]\\Large\\frac{12}{2}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td>[latex]6[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146163\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146163&theme=oea&iframe_resize_id=ohm146163&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<p>the following video provides another example of how to simplify various expressions that contain a fraction bar.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Simplify Basic Expressions in Fraction Form\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eF_jiZvb79w?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Simplify: [latex]\\Large\\frac{4 - 2\\left(3\\right)}{{2}^{2}+2}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q176453\">Show Solution<\/span><\/p>\n<div id=\"q176453\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168466112842\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]\\Large\\frac{4 - 2\\left(3\\right)}{{2}^{2}+2}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Use the order of operations. Multiply in the numerator and use the exponent in the denominator.<\/td>\n<td>[latex]\\Large\\frac{4 - 6}{4+2}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the numerator and the denominator.<\/td>\n<td>[latex]\\Large\\frac{-2}{6}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td>[latex]\\Large-\\frac{1}{3}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146164\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146164&theme=oea&iframe_resize_id=ohm146164&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Simplify: [latex]\\Large\\frac{{\\left(8 - 4\\right)}^{2}}{{8}^{2}-{4}^{2}}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q724012\">Show Solution<\/span><\/p>\n<div id=\"q724012\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168468576501\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>[latex]\\Large\\frac{{\\left(8 - 4\\right)}^{2}}{{8}^{2}-{4}^{2}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Use the order of operations (parentheses first, then exponents).<\/td>\n<td>[latex]\\Large\\frac{{\\left(4\\right)}^{2}}{64 - 16}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the numerator and denominator.<\/td>\n<td>[latex]\\Large\\frac{16}{48}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td>[latex]\\Large\\frac{1}{3}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146165\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146165&theme=oea&iframe_resize_id=ohm146165&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox exercises\">\n<h3>Example<\/h3>\n<p>Simplify: [latex]\\Large\\frac{4\\left(-3\\right)+6\\left(-2\\right)}{-3\\left(2\\right)-2}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q414011\">Show Solution<\/span><\/p>\n<div id=\"q414011\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168468477542\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>[latex]\\Large\\frac{4\\left(-3\\right)+6\\left(-2\\right)}{-3\\left(2\\right)-2}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]\\Large\\frac{-12+\\left(-12\\right)}{-6 - 2}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large\\frac{-24}{-8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>[latex]3[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h3><\/h3>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146167\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146167&theme=oea&iframe_resize_id=ohm146167&show_question_numbers\" width=\"100%\" height=\"270\"><\/iframe><\/p>\n<\/div>\n<p>Watch this video to see another example of how to simplify an expression with a fraction bar that contains several different operations.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex 1: Simplify an Expression in Fraction form (Order of Operations)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/fK7-w77cgVQ?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/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-9526\">\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: 146162, 146163, 146164, 146165, 146167. <strong>Authored by<\/strong>: Alyson Day. <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>Simplify Basic Expressions in Fraction Form. <strong>Authored by<\/strong>: James Sousa (mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/eF_jiZvb79w\">https:\/\/youtu.be\/eF_jiZvb79w<\/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 1: Simplify an Expression in Fraction form (Order of Operations). <strong>Authored by<\/strong>: James Sousa (mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/fK7-w77cgVQ\">https:\/\/youtu.be\/fK7-w77cgVQ<\/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>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":17,"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\"},{\"type\":\"cc\",\"description\":\"Simplify Basic Expressions in Fraction Form\",\"author\":\"James Sousa (mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/eF_jiZvb79w\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex 1: Simplify an Expression in Fraction form (Order of Operations)\",\"author\":\"James Sousa 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