Multiplying and Dividing Fractions

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{9}{4}$$ .

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

$$2 \frac{3}{4}$$ .

A mixed number is a whole number combined with a proper fraction, such as $$2 \frac{1}{3}$$ .

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

$$\frac{12}{5}$$ .

The product of two fractions is found by multiplying the numerators together and the denominators together.

$$\frac{8}{15}$$ .

The quotient of two fractions is found by multiplying the first fraction by the reciprocal of the second fraction.

$$\frac{15}{8}$$ .