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Fraction Word Problems: Examples




 
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 modeling method to solve fraction word problems are shown on the videos. The bar modeling 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

Examples:
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?
2) 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.
Example: 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?


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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