How to Multiply and Divide Fractions and Mixed Numbers

2/3 × 3/4

Both numbers are already fractions.

(2 × 3) / (3 × 4) = 6/12

Multiply the numerators together and the denominators together.

6/12 ÷ 6/6 = 1/2

The greatest common factor of 6 and 12 is 6; divide both by it.

1/2 ≈ 0.5  =  50%

1/2 ÷ 3/4

Both numbers are already fractions.

3/4 → 4/3

Dividing by a fraction is the same as multiplying by its reciprocal.

(1 × 4) / (2 × 3) = 4/6

Multiply numerators together and denominators together.

4/6 ÷ 2/2 = 2/3

The greatest common factor of 4 and 6 is 2; divide both by it.

2/3 ≈ 0.666667  =  66.6667%

5/2 × 6/5

Convert mixed numbers and decimals to fractions first: 2 1/2 = 5/2; 1 1/5 = 6/5.

(5 × 6) / (2 × 5) = 30/10

Multiply the numerators together and the denominators together.

30/10 ÷ 10/10 = 3

The greatest common factor of 30 and 10 is 10; divide both by it.

3 ≈ 3  =  300%