Dividing Mixed Numbers

A mixed number is a whole number combined with a 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, 2 1/2 = (2*2 + 1)/2 = 5/2.

Convert each mixed number to an improper fraction.

To divide fractions, multiply by the reciprocal of the second fraction. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times d}{b \times c}$$ .

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ .

$$9\frac{3}{4}$$ or $$\frac{39}{4}$$ .

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

$$1\frac{4}{5}$$ or $$\frac{9}{5}$$ .

$$3\frac{18}{19}$$ or $$\frac{75}{19}$$ .

Simplifying fractions makes them easier to understand and work with.