Divide Unit Fractions and Whole Numbers

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 1/4.

Front

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

Back

To divide a unit fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/4 ÷ 5 = 1/(4*5) = 1/20.

Front

What is the result of 4 ÷ 1/4?

Back

The result is 16, because dividing by a fraction is the same as multiplying by its reciprocal: 4 ÷ 1/4 = 4 * 4/1 = 16.

Front

If a hamburger shop uses 1/2 box of French fries every day, how many days will 9 boxes last?

Back

9 boxes will last 18 days, because 9 ÷ (1/2) = 9 * 2 = 18.

Front

What equation would you use to find out how many friends can receive 1/2 pound of chocolate from 7 pounds?

Back

The equation is 7 ÷ 1/2 = 14 friends.

Front

What is the quotient of 3 ÷ 1/4?

Back

The quotient is 12, because dividing by a fraction is the same as multiplying by its reciprocal: 3 ÷ 1/4 = 3 * 4/1 = 12.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction means to multiply by its reciprocal. For example, a ÷ (b/c) = a * (c/b).

Front

How can you check your answer when dividing fractions?

Back

You can check your answer by multiplying the quotient by the divisor to see if you get the dividend back.

Front

What is the relationship between division and multiplication in fractions?

Back

Division of fractions can be converted to multiplication by using the reciprocal of the divisor.

Front

If you have 1/3 of a pizza and you want to share it with 2 friends, how much does each friend get?

Back

Each friend gets 1/6 of the pizza, because 1/3 ÷ 2 = 1/3 * 1/2 = 1/6.