{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:06:31+00:00","modifiedTime":"2017-02-08T19:47:51+00:00","timestamp":"2022-09-14T18:17:19+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"},"slug":"ged","categoryId":33783}],"title":"GED Math Practice Questions: Computing with Rational Expressions","strippedTitle":"ged math practice questions: computing with rational expressions","slug":"ged-math-practice-questions-computing-with-rational-expressions","canonicalUrl":"","seo":{"metaDescription":"In the Mathematical Reasoning section of the GED, you may have to perform some computations with rational expressions. The following example questions ask you t","noIndex":0,"noFollow":0},"content":"<p>In the Mathematical Reasoning section of the GED, you may have to perform some computations with rational expressions. The following example questions ask you to subtract and multiply numeric fractions.</p>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">Subtract the following rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506667.image0.png\" height=\"43\" alt=\"Subtracting two rational expressions.\" width=\"100\"/>\r\n </li>\r\n <li><p class=\"first-para\">Multiply the following rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506668.image1.png\" height=\"41\" alt=\"Multiplying two rational expressions.\" width=\"176\"/>\r\n </li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">The result is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506669.image2.png\" height=\"49\" alt=\"The result of subtracting two rational expressions.png\" width=\"64\"/>\r\n<p class=\"child-para\">Start by factoring the denominator in both rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506670.image3.png\" height=\"49\" alt=\"factoring the denominator in two rational expressions.\" width=\"123\"/>\r\n<p class=\"child-para\">Multiply the first expression by </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506671.image4.png\" height=\"40\" alt=\"Three thirds.\" width=\"16\"/>\r\n<p class=\"child-para\">and the second fraction by </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506672.image5.png\" height=\"40\" alt=\"Four fourths\" width=\"16\"/>\r\n<p class=\"child-para\">and you have:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506673.image6.png\" height=\"49\" alt=\"Subtracting two rational expressions with the same denominator.\" width=\"209\"/>\r\n </li>\r\n <li><p class=\"first-para\">The result is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506674.image7.png\" height=\"41\" alt=\"Result of multiplying two rational expressions.\" width=\"65\"/>\r\n<p class=\"child-para\">Here's how you find it:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506675.image8.png\" height=\"49\" alt=\"The process of multiplying two rational expressions.\" width=\"441\"/>\r\n </li>\r\n</ol>","description":"<p>In the Mathematical Reasoning section of the GED, you may have to perform some computations with rational expressions. The following example questions ask you to subtract and multiply numeric fractions.</p>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">Subtract the following rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506667.image0.png\" height=\"43\" alt=\"Subtracting two rational expressions.\" width=\"100\"/>\r\n </li>\r\n <li><p class=\"first-para\">Multiply the following rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506668.image1.png\" height=\"41\" alt=\"Multiplying two rational expressions.\" width=\"176\"/>\r\n </li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">The result is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506669.image2.png\" height=\"49\" alt=\"The result of subtracting two rational expressions.png\" width=\"64\"/>\r\n<p class=\"child-para\">Start by factoring the denominator in both rational expressions:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506670.image3.png\" height=\"49\" alt=\"factoring the denominator in two rational expressions.\" width=\"123\"/>\r\n<p class=\"child-para\">Multiply the first expression by </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506671.image4.png\" height=\"40\" alt=\"Three thirds.\" width=\"16\"/>\r\n<p class=\"child-para\">and the second fraction by </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506672.image5.png\" height=\"40\" alt=\"Four fourths\" width=\"16\"/>\r\n<p class=\"child-para\">and you have:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506673.image6.png\" height=\"49\" alt=\"Subtracting two rational expressions with the same denominator.\" width=\"209\"/>\r\n </li>\r\n <li><p class=\"first-para\">The result is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506674.image7.png\" height=\"41\" alt=\"Result of multiplying two rational expressions.\" width=\"65\"/>\r\n<p class=\"child-para\">Here's how you find it:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506675.image8.png\" height=\"49\" alt=\"The process of multiplying two rational expressions.\" width=\"441\"/>\r\n </li>\r\n</ol>","blurb":"","authors":[],"primaryCategoryTaxonomy":{"categoryId":33783,"title":"GED","slug":"ged","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":207472,"title":"GED Mathematical Reasoning Test For Dummies Cheat 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GED Math Practice Questions: Computing with Rational Expressions

Updated: 02-08-2017

From The Book: GED Mathematical Reasoning Test For Dummies

GED Mathematical Reasoning Test For Dummies

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In the Mathematical Reasoning section of the GED, you may have to perform some computations with rational expressions. The following example questions ask you to subtract and multiply numeric fractions.

Practice questions

Subtract the following rational expressions:
Multiply the following rational expressions:

Answers and explanations

The result is

Start by factoring the denominator in both rational expressions:

Multiply the first expression by

and the second fraction by

and you have:
The result is

Here's how you find it:

About This Article

This article is from the book:

GED Mathematical Reasoning Test For Dummies ,

About the book authors:

Murray Shukyn, an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. Achim Krull has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials.

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