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About: Rational Expressions: Adding and Subtracting Rational Expressions

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

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Name: Rational Expressions: Adding and Subtracting Rational Expressions
ID: m21936
Language: English (en)
Summary:

This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr.

A detailed study of arithmetic operations with rational expressions is presented in this chapter, beginning with the definition of a rational expression and then proceeding immediately to a discussion of the domain. The process of reducing a rational expression and illustrations of multiplying, dividing, adding, and subtracting rational expressions are also included. Since the operations of addition and subtraction can cause the most difficulty, they are given particular attention. We have tried to make the written explanation of the examples clearer by using a "freeze frame" approach, which walks the student through the operation step by step.

The five-step method of solving applied problems is included in this chapter to show the problem-solving approach to number problems, work problems, and geometry problems. The chapter also illustrates simplification of complex rational expressions, using the combine-divide method and the LCD-multiply-divide method.

Objectives of this module: be familiar with the basic rule for adding and subtracting rational expressions, be able to add and subtract fractions with the same and with different denominators.

Subject: Mathematics and Statistics
Keywords: algebra, elementary, rational expressions
License: Creative Commons Attribution License CC-BY 3.0

Authors: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Copyright Holders: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Maintainers: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu), LearningMate LearningMate (abhijit.chaturvedi@learningmate.com), Matt Gardner (mgardner@wordsandnumbers.com)

Latest version: 1.3 (history)
First publication date: Mar 4, 2009 8:08 am -0600
Last revision to module: May 27, 2009 4:48 am -0500

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Version History

Version: 1.3 May 27, 2009 4:48 am -0500 by LearningMate LearningMate
Changes:
Final Publish.

Version: 1.2 Apr 28, 2009 3:50 am -0500 by LearningMate LearningMate
Changes:
Dynamic Links added

Version: 1.1 Apr 16, 2009 7:02 am -0500 by LearningMate LearningMate
Changes:
First Publish.

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American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Rational Expressions: Adding and Subtracting Rational Expressions, OpenStax_CNX Web site. http://cnx.org/content/m21936/1.3/, May 27, 2009.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Rational Expressions: Adding and Subtracting Rational Expressions [OpenStax_CNX Web site]. May 27, 2009. Available at: http://cnx.org/content/m21936/1.3/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, May 27). Rational Expressions: Adding and Subtracting Rational Expressions. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m21936/1.3/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Rational Expressions: Adding and Subtracting Rational Expressions." OpenStax_CNX. May 27, 2009. http://cnx.org/content/m21936/1.3/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Rational Expressions: Adding and Subtracting Rational Expressions," OpenStax_CNX, May 27, 2009, http://cnx.org/content/m21936/1.3/.

Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2009. Rational Expressions: Adding and Subtracting Rational Expressions. OpenStax_CNX, May 27, 2009. http://cnx.org/content/m21936/1.3/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Rational Expressions: Adding and Subtracting Rational Expressions. OpenStax_CNX. 27 May 2009 <http://cnx.org/content/m21936/1.3/>.