Multiplying Mixed Numbers

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

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 4 3/5 = (4*5 + 3)/5 = 23/5.

Convert each mixed number to an improper fraction.

$$\frac{2}{9}$$ .

To multiply a whole number by a fraction, convert the whole number to a fraction (e.g., 4 = $$\frac{4}{1}$$ ) and then multiply the numerators and denominators.

$$2 \frac{2}{3}$$ .

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

$$1 \frac{1}{2}$$ or $$\frac{3}{2}$$ .

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

A proper fraction is a fraction where the numerator is less than the denominator, such as $$\frac{2}{3}$$ .