Fraction Word Problems



Here are some examples of fraction word problems.
The first example is a one-step word problem.
The second example shows how blocks can be used to help illustrate the problem.
The third example is a two-step word problem.
More examples using the bar modelling method to solve fraction word problems are shown on videos. The bar modelling method is use in Singapore Math.

Related Topics:
How to solve Fraction Word Problems using Algebra

More Singapore Math Lessons

Example:

Martha spent of her allowance on food and shopping. What fraction of her allowance had she left?

Solution:

She had of her allowance left.

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:

Sam had 120 teddy bears in his toy store. He sold of them at $12 each. How much did he receive?

Solution:

Step 1: Find the number of teddy bears sold.

He sold 80 teddy bears.

Step 2: Find how much money he received.

80 × 12 = 960

He received $960.

Bar Modeling with Fractions
1) Grace thought that a plane journey would take 7/10 hr but the actual journey took 1/5 hr longer. How long did the actual journey take?
1) Timothy took 2/3 hr to paint a portrait. This was 1/3 hr shorter than the time he took to paint scenery. How long did he take to paint scenery?

Word Problem on Subtracting Fractions From Whole Numbers.
A craft store has a 9 yd spool of ribbon. In the morning, a customer buys 1/5 yd of ribbon from the spool. In the afternoon another customer buys 7/10 yd of ribbon from the spool. How much ribbon is left?



You can use the Mathway widget below to practice Fractions or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.




(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)


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