{"id":3026,"date":"2023-05-18T15:37:43","date_gmt":"2023-05-18T15:37:43","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=3026"},"modified":"2024-10-18T20:54:09","modified_gmt":"2024-10-18T20:54:09","slug":"data-organization-background-youll-need-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/data-organization-background-youll-need-1\/","title":{"raw":"Data Organization: Background You'll Need 1","rendered":"Data Organization: Background You&#8217;ll Need 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Converting Percents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Convert percents<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Percents to Fractions<\/h2>\r\n<p>Percents are a way of expressing ratios or comparisons, where the comparison is to a standard value of 100. The word 'percent' itself comes from the Latin \"per centum,\" which means \"by the hundred.\" This is why, when we convert a percent to a fraction, the denominator is always [latex]100[\/latex] \u2014 it represents the 'whole' in terms of 'per hundred'.<\/p>\r\n<section class=\"textbox questionHelp\">\r\n<p><strong>How To: Convert a Percent to a Fraction<\/strong><\/p>\r\n<ol id=\"eip-id1168469672602\" class=\"stepwise\">\r\n\t<li><strong>Write the Percent as a Fraction: <\/strong>Begin by writing the percent as a fraction with the percent number as the numerator and [latex]100[\/latex] as the denominator.<\/li>\r\n\t<li><strong>Remove the Percent Sign<\/strong>: When you write the percent as a fraction, omit the percent sign since you are now using the fraction format to represent the same value.<\/li>\r\n\t<li><strong>Simplify the Fraction<\/strong>: Look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number to simplify the fraction.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox example\">Convert each percent to a fraction:\r\n\r\n<ol>\r\n\t<li>[latex]\\text{36%}[\/latex]<\/li>\r\n\t<li>[latex]\\text{125%}[\/latex]<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"277425\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"277425\"]<\/p>\r\n<ol>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]36\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{36}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]{\\Large\\frac{9}{25}}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]125\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{125}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]{\\Large\\frac{5}{4}}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<p>The previous example shows that a percent can be greater than [latex]1[\/latex]. We saw that [latex]\\text{125%}[\/latex] means [latex]{\\Large\\frac{125}{100}}[\/latex], or [latex]{\\Large\\frac{5}{4}}[\/latex]. These are improper fractions, and their values are greater than one.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6635[\/ohm2_question]<\/section>\r\n<p>Sometimes, percents aren't whole numbers. They can include decimal points or even be written as a fraction of a percent. To convert these to fractions, you'll need to adjust the initial fraction before simplifying.<\/p>\r\n<section class=\"textbox questionHelp\"><strong>How to: Convert Decimal Percents to Fractions<\/strong>\r\n<ol>\r\n\t<li><strong>Write the Decimal Percent as a Fraction<\/strong>: Start by writing the decimal percent as a fraction with the decimal part as the numerator and [latex]100[\/latex] as the denominator.<\/li>\r\n\t<li><strong>Eliminate the Decimal Point<\/strong>: Multiply both the numerator and the denominator by [latex]10[\/latex] for each digit after the decimal point to eliminate the decimal.\u00a0<\/li>\r\n\t<li><strong>Simplify the Fraction<\/strong>: Simplify the resulting fraction by finding the greatest common divisor (GCD) and dividing both the numerator and the denominator by this number.<\/li>\r\n<\/ol>\r\n<strong>How to: Convert Fractional Percents to Fractions<\/strong>\r\n<ol>\r\n\t<li><strong>Convert the Mixed Number to an Improper Fraction<\/strong>: Convert the mixed number into an improper fraction.\u00a0<\/li>\r\n\t<li><strong>Apply the Percent to Fraction Conversion<\/strong>: Now treat this as a regular percent to fraction conversion. Write the improper fraction with [latex]100[\/latex] as the denominator.<\/li>\r\n\t<li><strong>Simplify the Complex Fraction<\/strong>: Simplify the complex fraction by multiplying by the reciprocal of the denominator.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox example\">Convert each percent to a fraction:\r\n\r\n<ol>\r\n\t<li>[latex]\\text{24.5%}[\/latex]<\/li>\r\n\t<li>[latex]33\\Large\\frac{1}{3}\\normalsize\\%[\/latex]<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"849557\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"849557\"]<\/p>\r\n<ol>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]24.5\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{24.5}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Clear the decimal by multiplying numerator and denominator by [latex]10[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{24.5\\left(10\\right)}{100\\left(10\\right)}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{245}{1000}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite showing common factors.<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{5\\cdot {49}}{5\\cdot {200}}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]{\\Large\\frac{49}{200}}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]33\\Large\\frac{1}{3}\\normalsize\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{33\\Large\\frac{1}{3}}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the numerator as an improper fraction.<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{\\frac{100}{3}}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Rewrite as fraction division, replacing [latex]100[\/latex] with [latex]\\frac{100}{1}[\/latex]<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{100}{3}}\\div {\\Large\\frac{100}{1}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply by the reciprocal.<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{100}{3}} \\cdot {\\Large\\frac{1}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]{\\Large\\frac{1}{3}}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6636[\/ohm2_question]<\/section>\r\n<h2>Percents to\u00a0Decimals<\/h2>\r\n<p>Percents and decimals are both ways of expressing ratios and proportions. A percent tells you how many parts out of a hundred, while a decimal expresses parts of a whole divided into ten, hundred, thousand, and so on. Converting a percent to a decimal helps you understand these ratios in a different light and can simplify further calculations.<\/p>\r\n<section class=\"textbox questionHelp\">\r\n<p><strong>How To: Convert a Percent to a Decimal<\/strong><\/p>\r\n<ol id=\"eip-id1168468771396\" class=\"stepwise\">\r\n\t<li><strong>Write the Percent as a Number<\/strong>: Remove the percent symbol (%) from the percent to focus on the number itself.<\/li>\r\n\t<li><strong>Write the percent as a ratio:\u00a0<\/strong> Create a ratio with the number as the numerator and the denominator as [latex]100[\/latex].<\/li>\r\n\t<li><strong>Finalize the Decimal<\/strong>: Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox example\">Convert each percent to a decimal:\r\n\r\n<ol>\r\n\t<li>[latex]\\text{6%}[\/latex]<\/li>\r\n\t<li>[latex]\\text{78%}[\/latex]<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"334643\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"334643\"]Because we want to change to a decimal, we will leave the fractions with denominator [latex]100[\/latex] instead of removing common factors.<\/p>\r\n<ol>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]6\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{6}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\r\n<td>[latex]0.06[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n\t<li><table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]78\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{78}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\r\n<td>[latex]0.78[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox example\">Convert each percent to a decimal:\r\n\r\n<ol>\r\n\t<li>[latex]\\text{135%}[\/latex]<\/li>\r\n\t<li>[latex]\\text{12.5%}[\/latex]<\/li>\r\n<\/ol>\r\n<p>[reveal-answer q=\"27508\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"27508\"]<\/p>\r\n<ol>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]135\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{135}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\r\n<td>[latex]1.35[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n\t<li>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>[latex]12.5\\%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]{\\Large\\frac{12.5}{100}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\r\n<td>[latex]0.125[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6637[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Converting Percents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Convert percents<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Percents to Fractions<\/h2>\n<p>Percents are a way of expressing ratios or comparisons, where the comparison is to a standard value of 100. The word &#8216;percent&#8217; itself comes from the Latin &#8220;per centum,&#8221; which means &#8220;by the hundred.&#8221; This is why, when we convert a percent to a fraction, the denominator is always [latex]100[\/latex] \u2014 it represents the &#8216;whole&#8217; in terms of &#8216;per hundred&#8217;.<\/p>\n<section class=\"textbox questionHelp\">\n<p><strong>How To: Convert a Percent to a Fraction<\/strong><\/p>\n<ol id=\"eip-id1168469672602\" class=\"stepwise\">\n<li><strong>Write the Percent as a Fraction: <\/strong>Begin by writing the percent as a fraction with the percent number as the numerator and [latex]100[\/latex] as the denominator.<\/li>\n<li><strong>Remove the Percent Sign<\/strong>: When you write the percent as a fraction, omit the percent sign since you are now using the fraction format to represent the same value.<\/li>\n<li><strong>Simplify the Fraction<\/strong>: Look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number to simplify the fraction.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox example\">Convert each percent to a fraction:<\/p>\n<ol>\n<li>[latex]\\text{36%}[\/latex]<\/li>\n<li>[latex]\\text{125%}[\/latex]<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q277425\">Show Answer<\/button><\/p>\n<div id=\"q277425\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]36\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{36}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]{\\Large\\frac{9}{25}}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]125\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{125}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]{\\Large\\frac{5}{4}}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/section>\n<p>The previous example shows that a percent can be greater than [latex]1[\/latex]. We saw that [latex]\\text{125%}[\/latex] means [latex]{\\Large\\frac{125}{100}}[\/latex], or [latex]{\\Large\\frac{5}{4}}[\/latex]. These are improper fractions, and their values are greater than one.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6635\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6635&theme=lumen&iframe_resize_id=ohm6635&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Sometimes, percents aren&#8217;t whole numbers. They can include decimal points or even be written as a fraction of a percent. To convert these to fractions, you&#8217;ll need to adjust the initial fraction before simplifying.<\/p>\n<section class=\"textbox questionHelp\"><strong>How to: Convert Decimal Percents to Fractions<\/strong><\/p>\n<ol>\n<li><strong>Write the Decimal Percent as a Fraction<\/strong>: Start by writing the decimal percent as a fraction with the decimal part as the numerator and [latex]100[\/latex] as the denominator.<\/li>\n<li><strong>Eliminate the Decimal Point<\/strong>: Multiply both the numerator and the denominator by [latex]10[\/latex] for each digit after the decimal point to eliminate the decimal.\u00a0<\/li>\n<li><strong>Simplify the Fraction<\/strong>: Simplify the resulting fraction by finding the greatest common divisor (GCD) and dividing both the numerator and the denominator by this number.<\/li>\n<\/ol>\n<p><strong>How to: Convert Fractional Percents to Fractions<\/strong><\/p>\n<ol>\n<li><strong>Convert the Mixed Number to an Improper Fraction<\/strong>: Convert the mixed number into an improper fraction.\u00a0<\/li>\n<li><strong>Apply the Percent to Fraction Conversion<\/strong>: Now treat this as a regular percent to fraction conversion. Write the improper fraction with [latex]100[\/latex] as the denominator.<\/li>\n<li><strong>Simplify the Complex Fraction<\/strong>: Simplify the complex fraction by multiplying by the reciprocal of the denominator.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox example\">Convert each percent to a fraction:<\/p>\n<ol>\n<li>[latex]\\text{24.5%}[\/latex]<\/li>\n<li>[latex]33\\Large\\frac{1}{3}\\normalsize\\%[\/latex]<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q849557\">Show Answer<\/button><\/p>\n<div id=\"q849557\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]24.5\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{24.5}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Clear the decimal by multiplying numerator and denominator by [latex]10[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{24.5\\left(10\\right)}{100\\left(10\\right)}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{245}{1000}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Rewrite showing common factors.<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{5\\cdot {49}}{5\\cdot {200}}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]{\\Large\\frac{49}{200}}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]33\\Large\\frac{1}{3}\\normalsize\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{33\\Large\\frac{1}{3}}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the numerator as an improper fraction.<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{\\frac{100}{3}}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Rewrite as fraction division, replacing [latex]100[\/latex] with [latex]\\frac{100}{1}[\/latex]<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{100}{3}}\\div {\\Large\\frac{100}{1}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply by the reciprocal.<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{100}{3}} \\cdot {\\Large\\frac{1}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]{\\Large\\frac{1}{3}}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6636\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6636&theme=lumen&iframe_resize_id=ohm6636&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h2>Percents to\u00a0Decimals<\/h2>\n<p>Percents and decimals are both ways of expressing ratios and proportions. A percent tells you how many parts out of a hundred, while a decimal expresses parts of a whole divided into ten, hundred, thousand, and so on. Converting a percent to a decimal helps you understand these ratios in a different light and can simplify further calculations.<\/p>\n<section class=\"textbox questionHelp\">\n<p><strong>How To: Convert a Percent to a Decimal<\/strong><\/p>\n<ol id=\"eip-id1168468771396\" class=\"stepwise\">\n<li><strong>Write the Percent as a Number<\/strong>: Remove the percent symbol (%) from the percent to focus on the number itself.<\/li>\n<li><strong>Write the percent as a ratio:\u00a0<\/strong> Create a ratio with the number as the numerator and the denominator as [latex]100[\/latex].<\/li>\n<li><strong>Finalize the Decimal<\/strong>: Convert the fraction to a decimal by dividing the numerator by the denominator.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox example\">Convert each percent to a decimal:<\/p>\n<ol>\n<li>[latex]\\text{6%}[\/latex]<\/li>\n<li>[latex]\\text{78%}[\/latex]<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q334643\">Show Answer<\/button><\/p>\n<div id=\"q334643\" class=\"hidden-answer\" style=\"display: none\">Because we want to change to a decimal, we will leave the fractions with denominator [latex]100[\/latex] instead of removing common factors.<\/p>\n<ol>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]6\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{6}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td>[latex]0.06[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]78\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{78}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td>[latex]0.78[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox example\">Convert each percent to a decimal:<\/p>\n<ol>\n<li>[latex]\\text{135%}[\/latex]<\/li>\n<li>[latex]\\text{12.5%}[\/latex]<\/li>\n<\/ol>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q27508\">Show Answer<\/button><\/p>\n<div id=\"q27508\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]135\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{135}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td>[latex]1.35[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\n<table>\n<tbody>\n<tr>\n<td>[latex]12.5\\%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio with denominator [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]{\\Large\\frac{12.5}{100}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Change the fraction to a decimal by dividing the numerator by the denominator.<\/td>\n<td>[latex]0.125[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6637\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6637&theme=lumen&iframe_resize_id=ohm6637&source=tnh\" width=\"100%\" 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