# 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 R_{1}, R_{2},R_{3
}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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