Dividing Fractions

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

A reciprocal of a number is 1 divided by that number. For a fraction $$\frac{a}{b}$$ , the reciprocal is $$\frac{b}{a}$$ .

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, $$2\frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{11}{4}$$ .

$$\frac{11}{9}$$ .

There are 4 runners.

$$\frac{3}{2}$$ or 1 1/2.

Divide the numerator by the denominator: 98 ÷ 10 = 9 remainder 8, so it becomes $$9\frac{4}{5}$$ .

A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

To simplify a fraction means to reduce it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).

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