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,R₃ are 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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