Mathematics » Rational Expressions and Equations » Simplify Complex Rational Expressions

Defining Complex Rational Expressions

What are complex rational expressions?

Complex fractions are fractions in which the numerator or denominator contains a fraction. In Chapter 1 we simplified complex fractions like these:


In this section we will simplify complex rational expressions, which are rational expressions with rational expressions in the numerator or denominator.

Complex Rational Expression

A complex rational expression is a rational expression in which the numerator or denominator contains a rational expression.

Here are a few complex rational expressions:


Remember, we always exclude values that would make any denominator zero.

We will use two methods to simplify complex rational expressions.

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