Fraction Operation Word Problems

A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Division. You divide the total amount by the number of people.

Multiply the total number of children by $$\frac{3}{4}$$ .

To find the difference, you need a common denominator and then subtract the numerators.

Convert $$\frac{1}{2}$$ to $$\frac{4}{8}$$ , then add: $$\frac{3}{8} + \frac{4}{8} = \frac{7}{8}$$ .

Multiply the fraction by the reciprocal of the whole number.

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

Subtract Betty's amount from Jughead's: $$\frac{1}{2} - \frac{6}{7}$$ .

Convert $$\frac{1}{2}$$ to $$\frac{4}{8}$$ and add: $$\frac{3}{8} + \frac{4}{8} = \frac{7}{8}$$ .

Divide by multiplying by the reciprocal: $$\frac{5}{8} \div 6 = \frac{5}{8} \times \frac{1}{6} = \frac{5}{48}$$ .