# 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:

12 = 2^{2} · 3

9 = 3^{2}

LCM(3. 12. 9) = 2^{2} ·3^{2} = 36

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