{"id":8099,"date":"2023-09-20T17:45:32","date_gmt":"2023-09-20T17:45:32","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=8099"},"modified":"2024-10-18T20:56:38","modified_gmt":"2024-10-18T20:56:38","slug":"classify-and-convert-rational-numbers-fresh-take","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/classify-and-convert-rational-numbers-fresh-take\/","title":{"raw":"Classify and Convert Rational Numbers: Fresh Take","rendered":"Classify and Convert Rational Numbers: Fresh Take"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Recognize rational numbers in a list of numbers<\/li>\r\n\t<li>Simplify fractions and fractional expressions<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Rational Functions<\/h2>\r\n<div class=\"textbox shaded\"><strong>The Main Idea\u00a0<\/strong> <br \/>\r\n<br \/>\r\nRational numbers are more than just fractions or decimals; they are numbers that can be expressed as a ratio of two integers. This includes all integers, fractions, and even some decimals.\r\n\r\n<p>A <strong>rational number<\/strong> is a number that can be written in the form [latex]{\\Large\\frac{p}{q}}[\/latex], where [latex]p[\/latex] and [latex]q[\/latex] are integers and [latex]q\\ne o[\/latex].<\/p>\r\n\r\nQuick Tips:\r\n\r\n<ul>\r\n\t<li>Converting an Integer to a Fraction: Any integer can be expressed as a fraction by placing it over [latex]1[\/latex].<\/li>\r\n\t<li>Converting an Integer to a Decimal: To convert an integer to a decimal, simply add a decimal point followed by a zero to the integer.<\/li>\r\n\t<li>Converting Fractions to Decimals: Divide the numerator by the denominator.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<section class=\"textbox example\">\r\n<ol style=\"list-style-type: decimal;\">\r\n\t<li>Convert the integer [latex]3[\/latex] to a rational number.<\/li>\r\n\t<li>Convert the decimal [latex]5.28[\/latex] to a rational number.<\/li>\r\n\t<li>Convert the mixed number [latex]\u22122\\frac{4}{9}[\/latex] to a rational number.<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"160936\"]Show Solution[\/reveal-answer] [hidden-answer a=\"160936\"]<\/p>\r\n<table id=\"eip-id1168469454543\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>1.<\/td>\r\n<td>&nbsp;<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>&nbsp;<\/td>\r\n<td>[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the integer as a fraction with denominator 1.<\/td>\r\n<td>[latex]\\Large\\frac{3}{1}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table id=\"eip-id1168467276182\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>2.<\/td>\r\n<td>&nbsp;<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>&nbsp;<\/td>\r\n<td>[latex]5.28[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the decimal as a mixed number.<\/td>\r\n<td>[latex]5\\Large\\frac{28}{100}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Then convert it to an improper fraction.<\/td>\r\n<td>[latex]\\Large\\frac{528}{100}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table id=\"eip-id1168467114800\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>3.<\/td>\r\n<td>&nbsp;<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>&nbsp;<\/td>\r\n<td>[latex]\u22122\\frac{4}{9}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert the mixed number to an improper fraction.<\/td>\r\n<td>[latex]-\\Large\\frac{22}{9}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/SQ4cB9yXkHM?si=g6B0CcNOZ2Xkq-yL\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/What+are+Rational+Numbers_+_+Number+System+Concept+_+Infinity+Learn.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cWhat are Rational Numbers? | Number System Concept | Infinity Learn\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n<section class=\"textbox watchIt\"><iframe src=\"\/\/plugin.3playmedia.com\/show?mf=11328518&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=hSWX6GNAuIc&amp;video_target=tpm-plugin-4ntxwc4n-hSWX6GNAuIc\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Rational+Numbers.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cRational Numbers\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n<h2>Simplify Fractions<\/h2>\r\n<div class=\"textbox shaded\"><strong>The Main Idea\u00a0<\/strong> <br \/>\r\n<br \/>\r\nSimplifying fractions is more than just reducing numbers; it's about understanding the essence of a ratio. This skill is crucial for making calculations easier and more understandable. A fraction is considered simplified if there are no common factors in the numerator and denominator. Quick Tips:\r\n\r\n<ul>\r\n\t<li>Simplifying Fractions: Use the Equivalent Fractions Property to remove common factors in the numerator and denominator.<\/li>\r\n\t<li>Prime Factorization: Use the factor tree method to break down the numerator and denominator into prime factors for easier simplification.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/AtBUQH8Tkqc?si=7XhbQYy9SH0sbpXD\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Math+Antics+-+Simplifying+Fractions.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cMath Antics - Simplifying Fractions\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n<section class=\"textbox watchIt\"><iframe src=\"\/\/plugin.3playmedia.com\/show?mf=11328519&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=4CKDqvddhhg&amp;video_target=tpm-plugin-0t13z7ox-4CKDqvddhhg\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/How+to+Simplify+Fractions+%7C+Math+with+Mr.+J.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cHow to Simplify Fractions | Math with Mr. J\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n<section class=\"textbox example\">Simplify: [latex]\\Large-\\frac{18}{24}[\/latex] [reveal-answer q=\"270732\"]Show Solution[\/reveal-answer] [hidden-answer a=\"270732\"]\r\n\r\n<table id=\"eip-id1168469841089\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\"We notice that 18 and 24 both have factors,\">\r\n<tbody>\r\n<tr>\r\n<td>We notice that 18 and 24 both have factors of 6.<\/td>\r\n<td>[latex]\\Large-\\frac{18}{24}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite the numerator and denominator showing the common factor.<\/td>\r\n<td>[latex]\\Large\\frac{3\\cdot6}{4\\cdot6}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large-\\frac{3\\cdot\\color{red}{6}}{4\\cdot\\color{red}{6}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large-\\frac{3}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n[\/hidden-answer]<\/section>\r\n<section class=\"textbox example\">Simplify: [latex]\\Large-\\frac{56}{32}[\/latex] [reveal-answer q=\"877414\"]Show Solution[\/reveal-answer] [hidden-answer a=\"877414\"]\r\n\r\n<table id=\"eip-id1168466600046\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\"The first line shows negative 56 over 32. The next line says, \">\r\n<tbody>\r\n<tr>\r\n<td>&nbsp;<\/td>\r\n<td>[latex]\\Large-\\frac{56}{32}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite the numerator and denominator, showing the common factors, 8.<\/td>\r\n<td>[latex]\\Large\\frac{7\\cdot8}{4\\cdot8}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Remove common factors.<\/td>\r\n<td>[latex]\\Large\\frac{7\\cdot\\color{red}{8}}{4\\cdot\\color{red}{8}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]\\Large-\\frac{7}{4}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n[\/hidden-answer]<\/section>\r\n<p>Watch the following video to see another example of how to simplify a fraction.<\/p>\r\n<section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/_2Wk7jXf3Ok?si=yQHIY9HUq4oxB7Ko\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Ex+1_+Simplify+Fractions.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cEx 1: Simplify Fractions\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>\r\n<p>Here's a video with another example of how to simplify a fraction that contains variables.<\/p>\r\n<section class=\"textbox watchIt\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/tLgfPeecGe0?si=QtnW8MioyvtYep0J\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Ex+3_+Simplify+Fractions+Containing+Variables.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cEx 3: Simplify Fractions Containing Variables\u201d here (opens in new window).<\/a><\/p>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Recognize rational numbers in a list of numbers<\/li>\n<li>Simplify fractions and fractional expressions<\/li>\n<\/ul>\n<\/section>\n<h2>Rational Functions<\/h2>\n<div class=\"textbox shaded\"><strong>The Main Idea\u00a0<\/strong> <\/p>\n<p>Rational numbers are more than just fractions or decimals; they are numbers that can be expressed as a ratio of two integers. This includes all integers, fractions, and even some decimals.<\/p>\n<p>A <strong>rational number<\/strong> is a number that can be written in the form [latex]{\\Large\\frac{p}{q}}[\/latex], where [latex]p[\/latex] and [latex]q[\/latex] are integers and [latex]q\\ne o[\/latex].<\/p>\n<p>Quick Tips:<\/p>\n<ul>\n<li>Converting an Integer to a Fraction: Any integer can be expressed as a fraction by placing it over [latex]1[\/latex].<\/li>\n<li>Converting an Integer to a Decimal: To convert an integer to a decimal, simply add a decimal point followed by a zero to the integer.<\/li>\n<li>Converting Fractions to Decimals: Divide the numerator by the denominator.<\/li>\n<\/ul>\n<\/div>\n<section class=\"textbox example\">\n<ol style=\"list-style-type: decimal;\">\n<li>Convert the integer [latex]3[\/latex] to a rational number.<\/li>\n<li>Convert the decimal [latex]5.28[\/latex] to a rational number.<\/li>\n<li>Convert the mixed number [latex]\u22122\\frac{4}{9}[\/latex] to a rational number.<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q160936\">Show Solution<\/button> <\/p>\n<div id=\"q160936\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168469454543\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\n<tbody>\n<tr>\n<td>1.<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>[latex]3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the integer as a fraction with denominator 1.<\/td>\n<td>[latex]\\Large\\frac{3}{1}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168467276182\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\n<tbody>\n<tr>\n<td>2.<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>[latex]5.28[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the decimal as a mixed number.<\/td>\n<td>[latex]5\\Large\\frac{28}{100}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Then convert it to an improper fraction.<\/td>\n<td>[latex]\\Large\\frac{528}{100}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168467114800\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\".\">\n<tbody>\n<tr>\n<td>3.<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>[latex]\u22122\\frac{4}{9}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert the mixed number to an improper fraction.<\/td>\n<td>[latex]-\\Large\\frac{22}{9}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/SQ4cB9yXkHM?si=g6B0CcNOZ2Xkq-yL\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/What+are+Rational+Numbers_+_+Number+System+Concept+_+Infinity+Learn.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cWhat are Rational Numbers? | Number System Concept | Infinity Learn\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" src=\"\/\/plugin.3playmedia.com\/show?mf=11328518&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=hSWX6GNAuIc&amp;video_target=tpm-plugin-4ntxwc4n-hSWX6GNAuIc\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Rational+Numbers.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cRational Numbers\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<h2>Simplify Fractions<\/h2>\n<div class=\"textbox shaded\"><strong>The Main Idea\u00a0<\/strong> <\/p>\n<p>Simplifying fractions is more than just reducing numbers; it&#8217;s about understanding the essence of a ratio. This skill is crucial for making calculations easier and more understandable. A fraction is considered simplified if there are no common factors in the numerator and denominator. Quick Tips:<\/p>\n<ul>\n<li>Simplifying Fractions: Use the Equivalent Fractions Property to remove common factors in the numerator and denominator.<\/li>\n<li>Prime Factorization: Use the factor tree method to break down the numerator and denominator into prime factors for easier simplification.<\/li>\n<\/ul>\n<\/div>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/AtBUQH8Tkqc?si=7XhbQYy9SH0sbpXD\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Math+Antics+-+Simplifying+Fractions.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cMath Antics &#8211; Simplifying Fractions\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" src=\"\/\/plugin.3playmedia.com\/show?mf=11328519&amp;p3sdk_version=1.10.1&amp;p=20361&amp;pt=375&amp;video_id=4CKDqvddhhg&amp;video_target=tpm-plugin-0t13z7ox-4CKDqvddhhg\" width=\"800px\" height=\"450px\" frameborder=\"0\" marginwidth=\"0px\" marginheight=\"0px\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/How+to+Simplify+Fractions+%7C+Math+with+Mr.+J.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cHow to Simplify Fractions | Math with Mr. J\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<section class=\"textbox example\">Simplify: [latex]\\Large-\\frac{18}{24}[\/latex] <\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q270732\">Show Solution<\/button> <\/p>\n<div id=\"q270732\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168469841089\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\"We notice that 18 and 24 both have factors,\">\n<tbody>\n<tr>\n<td>We notice that 18 and 24 both have factors of 6.<\/td>\n<td>[latex]\\Large-\\frac{18}{24}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Rewrite the numerator and denominator showing the common factor.<\/td>\n<td>[latex]\\Large\\frac{3\\cdot6}{4\\cdot6}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large-\\frac{3\\cdot\\color{red}{6}}{4\\cdot\\color{red}{6}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large-\\frac{3}{4}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox example\">Simplify: [latex]\\Large-\\frac{56}{32}[\/latex] <\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q877414\">Show Solution<\/button> <\/p>\n<div id=\"q877414\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168466600046\" class=\"unnumbered unstyled\" style=\"width: 85%;\" summary=\"The first line shows negative 56 over 32. The next line says,\">\n<tbody>\n<tr>\n<td>&nbsp;<\/td>\n<td>[latex]\\Large-\\frac{56}{32}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Rewrite the numerator and denominator, showing the common factors, 8.<\/td>\n<td>[latex]\\Large\\frac{7\\cdot8}{4\\cdot8}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Remove common factors.<\/td>\n<td>[latex]\\Large\\frac{7\\cdot\\color{red}{8}}{4\\cdot\\color{red}{8}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]\\Large-\\frac{7}{4}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<p>Watch the following video to see another example of how to simplify a fraction.<\/p>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/_2Wk7jXf3Ok?si=yQHIY9HUq4oxB7Ko\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Ex+1_+Simplify+Fractions.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cEx 1: Simplify Fractions\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n<p>Here&#8217;s a video with another example of how to simplify a fraction that contains variables.<\/p>\n<section class=\"textbox watchIt\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/tLgfPeecGe0?si=QtnW8MioyvtYep0J\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>You can view the\u00a0<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Quantitative+Reasoning+-+2023+Build\/Transcriptions\/Ex+3_+Simplify+Fractions+Containing+Variables.txt\" target=\"_blank\" rel=\"noopener\">transcript for \u201cEx 3: Simplify Fractions Containing Variables\u201d here (opens in new window).<\/a><\/p>\n<\/section>\n","protected":false},"author":15,"menu_order":9,"template":"","meta":{"_candela_citation":"[{\"type\":\"copyrighted_video\",\"description\":\"What are Rational Numbers? | Number System Concept | Infinity Learn\",\"author\":\"Infinity Learn NEET\",\"organization\":\"Infinity Learn\",\"url\":\"https:\/\/youtu.be\/SQ4cB9yXkHM\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"copyrighted_video\",\"description\":\"Rational Numbers\",\"author\":\"Jeff Jacobsen\",\"organization\":\"Anywhere Math\",\"url\":\"https:\/\/youtu.be\/hSWX6GNAuIc\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"copyrighted_video\",\"description\":\"Math Antics - Simplifying Fractions\",\"author\":\"Rob & Jeremy (MathAntics.com)\",\"organization\":\"Math Antics\",\"url\":\"https:\/\/youtu.be\/AtBUQH8Tkqc\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"copyrighted_video\",\"description\":\"How to Simplify Fractions | Math with Mr. J\",\"author\":\"Math with Mr. J\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/4CKDqvddhhg\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"copyrighted_video\",\"description\":\"Ex 1: Simplify Fractions\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/_2Wk7jXf3Ok\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"copyrighted_video\",\"description\":\"Ex 3: Simplify Fractions Containing Variables\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/tLgfPeecGe0\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"Lynn Marecek & MaryAnne Anthony-Smith\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":53,"module-header":"fresh_take","content_attributions":[{"type":"copyrighted_video","description":"What are Rational Numbers? | Number System Concept | Infinity Learn","author":"Infinity Learn NEET","organization":"Infinity Learn","url":"https:\/\/youtu.be\/SQ4cB9yXkHM","project":"","license":"arr","license_terms":""},{"type":"copyrighted_video","description":"Rational Numbers","author":"Jeff Jacobsen","organization":"Anywhere Math","url":"https:\/\/youtu.be\/hSWX6GNAuIc","project":"","license":"arr","license_terms":""},{"type":"copyrighted_video","description":"Math Antics - Simplifying Fractions","author":"Rob & Jeremy (MathAntics.com)","organization":"Math Antics","url":"https:\/\/youtu.be\/AtBUQH8Tkqc","project":"","license":"arr","license_terms":""},{"type":"copyrighted_video","description":"How to Simplify Fractions | Math with Mr. J","author":"Math with Mr. J","organization":"","url":"https:\/\/youtu.be\/4CKDqvddhhg","project":"","license":"arr","license_terms":""},{"type":"copyrighted_video","description":"Ex 1: Simplify Fractions","author":"James Sousa (Mathispower4u.com)","organization":"","url":"https:\/\/youtu.be\/_2Wk7jXf3Ok","project":"","license":"arr","license_terms":""},{"type":"copyrighted_video","description":"Ex 3: Simplify Fractions Containing Variables","author":"James Sousa (Mathispower4u.com)","organization":"","url":"https:\/\/youtu.be\/tLgfPeecGe0","project":"","license":"arr","license_terms":""},{"type":"cc-attribution","description":"Prealgebra","author":"Lynn Marecek & MaryAnne Anthony-Smith","organization":"OpenStax","url":"","project":"","license":"cc-by","license_terms":"Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction"}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8099"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":15,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8099\/revisions"}],"predecessor-version":[{"id":12818,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8099\/revisions\/12818"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/53"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8099\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=8099"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=8099"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=8099"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=8099"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}