Fraction Word Problems

Here are some examples of fraction word problems. We will illustrate how block diagrams can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Example:

If of a sum of money is $21, what is the sum of money?

Solution:

1 unit =21

3 units = 21 × 3 = 63

The sum of money is $63

Example:

of a group of children were girls. If there were 24 girls, how many children were there in the group?

Solution:

3 units = 24

1 unit = 24 ÷ 3 = 8

5 units = 5 × 8 = 40

There were 40 children in the group.

Example:

Bill had some stamps. He gave of them to Tim. If he gave 14 stamps to Tim, how many stamps had Bill at first?

Solution:

2 units = 14

1 unit = 7

5 units = 7 × 5 = 35

Bill originally had 35 stamps.

Example:

Lionel bought 30 pizzas and burgers altogether. of the food bought were pizzas. How many burgers did he buy?

Solution:

5 units = 30

1 unit = 6

3 units = 3 × 6 = 18

He bought 18 burgers.

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