# Multiplication and Division of Fractions

## Multiplication of Fractions

When multiplying fractions, we multiply the numerators together and the denominators together.

If we are dealing with mixed numbers, we change the mixed numbers into improper fractions first.

Example:

Multiply ⅔ with 6/5.

Note: If cancelling numbers, be sure to only cancel a numerator with a corresponding denominator. NEVER cancel two numerators or two denominators with each other.

If your answer is an improper fraction, change it into a mixed number.

## Division of Fractions

If we are dividing mixed numbers, we must also first turn them into improper fractions. Then change the division sign to multiplication, and invert the second fraction.

Example:

Divide 2 ¼ and 3 2/6.

2 ¼ = 9/4

3 2/6 = 20/6

9/4 ÷ 20/6 = 9/4 × 6/20 = 9/20