multiply fractions

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{3}{4}$$ , 3 is the numerator and 4 is the denominator.

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

$$\frac{1 \times 3}{2 \times 4} = \frac{3}{8}$$ .

A mixed number is a whole number combined with a fraction. For example, $$1 \frac{1}{2}$$ is a mixed number, which means 1 whole and 1/2.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, $$1 \frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3}$$ .

First convert to improper fractions: $$\frac{5}{3} \times \frac{7}{3} = \frac{5 \times 7}{3 \times 3} = \frac{35}{9} = 3 \frac{8}{9}$$ .

$$\frac{7 \times 11}{4 \times 6} = \frac{77}{24}$$ .

$$\frac{21 \times 1}{4 \times 6} = \frac{21}{24} = \frac{21}{24}$$ .

$$\frac{1 \times 5}{4 \times 2} = \frac{5}{8}$$ .

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to add or subtract fractions.