Dividing Unit Fractions and Whole Numbers

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 reciprocal of the unit fraction. For example, $$3 \div \frac{1}{4} = 3 \times 4 = 12$$ .

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is $$\frac{1}{2}$$ .

Dividing by a fraction means to multiply by its reciprocal. For example, $$5 \div \frac{1}{3} = 5 \times 3 = 15$$ .

The equation is $$\frac{1}{2} \div 3 = C$$ , where C is the amount of butter in each part.

When you divide a whole number by a unit fraction, you find out how many fractional parts are in the whole number.

The result is $$\frac{1}{12}$$ .

You would calculate it as $$4 \div \frac{1}{5} = 4 \times 5 = 20$$ days to sell all the games.

The equation is $$\frac{1}{2} \div 3 = C$$ .

The quotient is $$\frac{1}{18}$$ .