Division with Unit Fractions

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as $$\frac{1}{2}$$ or $$\frac{1}{5}$$ .

To divide a whole number by a unit fraction, multiply the whole number by the denominator of the fraction. For example, $$6 \div \frac{1}{3} = 6 \times 3 = 18$$ .

When you divide a fraction by a unit fraction, you multiply the fraction by the denominator of the unit fraction. For example, $$\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times 4 = \frac{8}{3}$$ .

Each batch uses $$\frac{1}{12}$$ of a bag of chocolate chips.

Jemma can make 15 pancakes.

They should use $$\frac{1}{21}$$ gallon of soap each day.

5 boxes will last 30 days.

Each friend will get $$\frac{1}{12}$$ of the cake.

Divide the total amount of the resource by the number of days it needs to last.

Dividing by a fraction is the same as multiplying by its reciprocal. For example, $$a \div \frac{b}{c} = a \times \frac{c}{b}$$ .