Multiplication and Division of Unit Fractions

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/5.

Front

How do you divide a whole number by a unit fraction?

Back

To divide a whole number by a unit fraction, multiply the whole number by the reciprocal of the unit fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

If you have 1/4 of a pizza and you want to share it with 3 friends, how much does each person get?

Back

Each person gets 1/4 ÷ 4 = 1/16 of the pizza.

Front

What is 6 ÷ 1/3?

Back

6 ÷ 1/3 = 6 × 3/1 = 18.

Front

How do you multiply a whole number by a unit fraction?

Back

To multiply a whole number by a unit fraction, multiply the whole number by the numerator and divide by the denominator.

Front

What is 1/2 of 1/4?

Back

1/2 × 1/4 = 1/8.

Front

If a recipe calls for 2/3 cup of sugar and you want to make half the recipe, how much sugar do you need?

Back

2/3 ÷ 2 = 1/3 cup of sugar.

Front

What is the result of 5 ÷ 1/5?

Back

5 ÷ 1/5 = 5 × 5/1 = 25.

Front

How many 1/2 cup servings are in 3 cups?

Back

3 ÷ 1/2 = 3 × 2/1 = 6 servings.