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 $$\frac{3}{4}$$ , 3 is the numerator and 4 is the denominator.

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

$$\frac{3}{5} \times \frac{8}{10} = \frac{24}{50} = \frac{12}{25}$$ after simplification.

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

The GCF is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify fractions.

$$\frac{2}{9} \times \frac{3}{4} = \frac{6}{36} = \frac{1}{6}$$ after simplification.

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

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

A reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$ .

To find the reciprocal of a fraction $$\frac{a}{b}$$ , simply switch the numerator and denominator to get $$\frac{b}{a}$$ .