# Rational Expressions

A Rational Expression is the quotient of two polynomials and with .

Ex. .

Lowest Terms of a Rational Expression A rational expression is written in lowest terms when the greatest common factor of its numerator and denominator is 1.

Remark To write a rational expression in lowest terms we use the basic principle of fractions: , (, ).

Ex. .

Operations of Rational Expressions For fractions and (, ),

Multiplication and Division: , and

The Least Common Denominator (LCD) of two rational expressions:

Ex. The LCD of and is .

A complex fraction is the quotient of two rational expressions.

Ex.

Subsections

Department of Mathematics