Multiply Fractions by Whole Numbers

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Multiplying a fraction by a whole number means you are taking that fraction and adding it to itself a certain number of times.

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the denominator the same. For example, $$\frac{2}{3} \times 4 = \frac{2 \times 4}{3} = \frac{8}{3}$$ .

$$\frac{1}{2} \times 4 = \frac{1 \times 4}{2} = \frac{4}{2} = 2$$ .

$$\frac{3}{5} \times 10 = \frac{3 \times 10}{5} = \frac{30}{5} = 6$$ .

$$\frac{1}{8} \times 9 = \frac{9}{8} = 1 \frac{1}{8}$$ miles.

$$\frac{1}{7} \times 6 = \frac{6}{7}$$ .

$$\frac{2}{3} \times 5 = \frac{10}{3} = 3 \frac{1}{3}$$ cups.

$$\frac{2}{3} \times 6 = \frac{12}{3} = 4$$ miles.

The denominator indicates how many equal parts the whole is divided into.