Common Denominator

To reduce several fractions to a common denominator is to convert them into other equivalent fractions with the same denominator. To do so, the following must apply:

1 The common denominator will be the least common multiple of the denominators.

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

Example

Reduce to a common denominator:

Fractions

12 = 2² · 3

9 = 3²

LCM(3. 12. 9) = 2² ·3² = 36

Common Denominator