Reducing Algebraic Fractions to a Common Denominator

To reduce two algebraic fractions to a common denominator, find two equivalent algebraic fractions with the same denominator.

Example

Algebraic Fractions

1Decompose the denominators to find the least common multiple, which will be the common denominator.

x2 − 1 = (x + 1) · (x − 1)

x2 + 3x + 2 = (x +1 ) · (x + 2)

lcm (x2 − 1, x2 + 3x + 2) = (x + 1) · (x − 1) · (x + 2)


2This common denominator is divided by each of the denominators, multiplying the quotient obtained by the corresponding numerator.

Reducing Algebraic Fractions

Reducing Algebraic Fractions

Reducing Algebraic Fractions

Reducing Algebraic Fractions