Multiplying Mixed Numbers

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Convert each mixed number to an improper fraction.

$$\frac{20}{3}$$ .

Multiply the numerators together and the denominators together. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

$$\frac{20 \times 3}{3 \times 5} = \frac{60}{15} = 4$$ .

Divide the numerator and the denominator by their greatest common factor (GCF).

$$\frac{3}{2} \times \frac{15}{4} = \frac{45}{8}$$ .

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the numerator of the fraction.

5 $$\frac{5}{8}$$ .