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Simplifying Complex Fractions
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LESSON: FRACTIONS
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EQUIVALENT FRACTIONS
MULTIPLY TWO OR MORE FRACTIONS
Simplifying Fractions
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ADDITION OF FRACTIONS
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Multiplying and Dividing Fractions
Introduction to Fractions
Simplifying Fractions by Multiplying by the LCD

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Simplifying Complex Fractions

Complex fraction-is a rational expressions that contains
rational expressions in the numerator and/or the
denominator.

Simplify: Method 1

Method 2

To simplify a complex rational expression, use one of the
following methods:
Method 1
1. Simplify the numerator and denominator if needed.
2. Rewrite as a horizontal division problem.
Method 2
1. Multiply the numerator and denominator of the complex
rational expression by their LCD.
2. Simplify.

Simplify each of the following:

6. Suppose three resistors R₁, R₂,R₃are wired in parallel.
The resistance of the circuit is found using the complex
rational expression

a) Simplify this complex rational expression.

b) A 20-ohm, a 10-ohm, and a 40-ohm resistor are wired in
parallel. Find the resistance of the circuit.

Class work Worksheet section 7.4 -7.5
Homework Math XL section 7.5

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