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

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Name: Rational Expressions: Rational Expressions
ID: m18878
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 able to recognize a rational expression, be familiar with the equality and negative properties of fractions.

Subject: Mathematics and Statistics
Keywords: algebra, elementary, rational expressions, zero-factor property
License: Creative Commons Attribution License CC-BY 2.0

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: 1.4 (history)
First publication date: Dec 8, 2008 5:16 pm -0600
Last revision to module: May 27, 2009 5:06 am -0500

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Version History

Version: 1.4 May 27, 2009 5:06 am -0500 by LearningMate LearningMate
Changes:
Final Publish.

Version: 1.3 Apr 29, 2009 11:03 am -0500 by Jonathan Emmons
Changes:
administrative publish

Version: 1.2 Apr 29, 2009 10:06 am -0500 by Kyle Barnhart
Changes:
administrative publish

Version: 1.1 Dec 12, 2008 2:01 pm -0600 by Judy Baker
Changes:
none

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  • the Connexions URL where the work can be found: http://cnx.org/content/m18878/1.4/

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The following citation styles comply with the attribution requirements for the license (CC-BY 2.0) of this work:

American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Rational Expressions: Rational Expressions, Connexions Web site. http://cnx.org/content/m18878/1.4/, May 27, 2009.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Rational Expressions: Rational Expressions [Connexions Web site]. May 27, 2009. Available at: http://cnx.org/content/m18878/1.4/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, May 27). Rational Expressions: Rational Expressions. Retrieved from the Connexions Web site: http://cnx.org/content/m18878/1.4/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Rational Expressions: Rational Expressions." Connexions. May 27, 2009. http://cnx.org/content/m18878/1.4/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Rational Expressions: Rational Expressions," Connexions, May 27, 2009, http://cnx.org/content/m18878/1.4/.

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

Ellis, W., & Burzynski, D. 2009. Rational Expressions: Rational Expressions. Connexions, May 27, 2009. http://cnx.org/content/m18878/1.4/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Rational Expressions: Rational Expressions. Connexions. 27 May 2009 <http://cnx.org/content/m18878/1.4/>.