Multiplying Mixed Numbers

A mixed number is a whole number combined with a fraction, such as $$2\frac{1}{2}$$ .

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, $$2\frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}$$ .

Convert each mixed number to an improper fraction.

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

Simplifying fractions makes them easier to understand and work with, and it is often required in final answers.

Putting an answer in simplest form means reducing the fraction to its lowest terms, where the numerator and denominator have no common factors other than 1.

$$7\frac{3}{5} = \frac{38}{5}$$ and $$1\frac{1}{2} = \frac{3}{2}$$ .

The product is $$9\frac{5}{7}$$ .

$$2\frac{1}{9} = \frac{(2 \times 9) + 1}{9} = \frac{19}{9}$$ .

$$2\frac{2}{3} = \frac{8}{3}$$ and $$2\frac{7}{10} = \frac{27}{10}$$ .