Carson Elementary And Intermediate Algebra 3e
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3M098
Carson Elementary and Intermediate Algebra 3e
Section 7.5
Objectives
1.
Simplify complex rational expressions.
Vocabulary
Complex rational
A rational expression that contains rational expressions in the numerator or
expression
denominator.
Prior Knowledge
Find LCD.
New Concepts
1. Simplify complex rational expressions.
A complex fraction is a fraction with one or more fractions in the numerator, denominator or both.
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1
3
4
4
1
9
2
There are two methods to simplify complex fractions.
Method 1: Method 1 treats this as a problem with three parts.
1. Simplify the numerator by finding a common denominator.
2. Simplify the denominator by finding a common denominator.
3. Divide the results of steps 1 and 2.
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1
3
4
Example 1:
Method 1
4
1
9
2
2
4
1
3
8
3
5
3
4
4
3
12
12
12
Simplify the numerator by finding a
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1
4
1
4
1
common denominator.
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2
9
2
9
2
5
5
5
12
12
12
Simplify the denominator by finding a
4
2
1
9
8
9
17
common denominator.
9
2
2
9
18
18
18
5
5
17
5
18
15
12
Divide the results of steps 1 and 2.
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12
18
12
17
34
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V. Zabrocki 2011
page 1
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