Dividing Fractions

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

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

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

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{4}$$ .

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

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.

The quotient is $$\frac{8}{9}$$ .

You can cut 13 pieces of $$\frac{2}{3}$$ ft from 9 ft of ribbon.

The result is $$\frac{11}{9}$$ .