Learning Objectives
Introduction
Tutorial
In other words, there is at least one small fraction within the overall fraction.
Some examples of complex fractions are:
and
There are two ways that you can simplify complex fractions.
We will call them method I and method
II.
Method I
Simplifying a Complex Fraction
If you need a review on adding and subtracting rational expressions, go to Tutorial 10: Adding and Subtracting Rational Expressions.
Step 2: Divide
the numerator by the denominator.
If you need a review on dividing rational expressions, go to Tutorial 9: Multiplying and Dividing Rational Expressions.
Step 3: If needed, simplify
the rational expression.
Example 1: Simplify .
AND
Step 3: If needed, simplify
the rational expression.
*Divide out a common factor of ab
*Excluded values of the original den.
Example 2: Simplify .
*Rewrite fractions with LCD of (x - 4)
*Rewrite fractions with LCD of (x - 4)
AND
Step 3: If needed, simplify
the rational expression.
*Divide out a common factor of (x - 4)
*Excluded values of the original den.
Step 2: If needed, simplify
the rational expression.
Example 3: Simplify .
*Divide out the common factor of x
*Excluded values of the original den.
Example 4: Simplify .
*Excluded values of the original den.
Practice Problems
To get the most out of these, you should work the problem out on your own and then check your answer by clicking on the link for the answer/discussion for that problem. At the link you will find the answer as well as any steps that went into finding that answer.
Practice Problems 1a - 1b: Simplify.
Need Extra Help on these Topics?
http://www.purplemath.com/modules/compfrac.htm
This webpage steps through simplifying complex fractions.
Go to Get Help Outside the
Classroom found in Tutorial 1: How to Succeed in a Math Class for some
more suggestions.
Videos at this site were created and produced by Kim Seward and Virginia Williams Trice.
Last revised on Dec. 15, 2009 by Kim Seward.
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