# 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

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

x^{2} − 1 = (x + 1) · (x − 1)

x^{2} + 3x + 2 = (x +1 ) · (x + 2)

lcm (x^{2} − 1, x^{2} + 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.

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