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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 modeling method to solve fraction word problems are shown on videos. The bar modeling method is use in Singapore Math. In the Common Core Math it is called Tape Diagrams.

Related Topics:
How to solve Fraction Word Problems using Algebra

More Singapore Math Lessons


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


She had of her allowance left.


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


3 units = 24

1 unit = 24 ÷ 3 = 8

5 units = 5 × 8 = 40

There were 40 children in the group.


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


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?

Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

Fraction of Fraction computation
Solve a problem involving fractions of fractions and fractions of remaining parts.
1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?


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