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Basic Fraction Word Problems - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=add

Solve. Give the answer in simplest form.

1.  
Sharon weeded 5/6 of her yard in the morning and 1/6 of the yard in the afternoon. What part of the yard did she weed altogether?
2.  
A mango is cut into 10 slices. If Eric ate 7 slices and his sister ate 2 slices, what part of the mango did they eat?

Complexity=1, Mode=sub

Solve. Give the answer in simplest form.

1.  
Sarah has 2/3 of a yard left to weed. If she wants to weed 1/3 of it now, how much of the yard will there be left to weed?
2.  
Christine and Lisa made a tray of cookies. If Christine ate 6/8 of the cookies and Lisa ate 1/8 of the cookies. How much more of the cookies did Christine eat than Lisa?

Complexity=1

Solve. Give the answer in simplest form.

1.  
There is a box of pebbles where 1/4 are blue, 2/4 are yellow, and 1/4 are black. What fraction of the box has yellow and black pebbles?
2.  
Sharon and her mom made a tray of muffins. If Sharon ate 1/5 of the muffins and her mom ate 3/5 of the muffins. How much more of the muffins did her mom eat than Sharon?

Answers

Complexity=1, Mode=add

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Sharon weeded 5/6 of her yard in the morning and 1/6 of the yard in the afternoon. What part of the yard did she weed altogether?
Solution
The question is
    What part of the yard did she weed altogether?
Which operation should you use?
    The key word altogether implies addition.
Equation
5
6
+
1
6
=
6
6

Simplify the answer.
6
6
= 1
#ProblemCorrect AnswerYour Answer
2A mango is cut into 10 slices. If Eric ate 7 slices and his sister ate 2 slices, what part of the mango did they eat?
Solution
The question is
    What part of the mango did they eat?
Which operation should you use?
    The question implies addition.
Equation
 
# slices eaten
total # of slices		   =   7 + 2
10		   =  
9
10
Alternate equation
 
7
10		 + 2
10		   =  
9
10

Complexity=1, Mode=sub

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Sarah has 2/3 of a yard left to weed. If she wants to weed 1/3 of it now, how much of the yard will there be left to weed?
Solution
The question is
    How much of the yard is left to weed?
Which operation should you use?
    The key word left implies subtraction.
Equation
2
3
−
1
3
=
1
3
#ProblemCorrect AnswerYour Answer
2Christine and Lisa made a tray of cookies. If Christine ate 6/8 of the cookies and Lisa ate 1/8 of the cookies. How much more of the cookies did Christine eat than Lisa?
Solution
The question is
    How much more of the cookies did Christine eat?
Which operation should you use?
    The phrase how much more implies subtraction.
Equation
 
6
8
−
1
8
  =  
5
8

Complexity=1

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1There is a box of pebbles where 1/4 are blue, 2/4 are yellow, and 1/4 are black. What fraction of the box has yellow and black pebbles?
Solution
The question is
    What fraction of the box has yellow and black pebbles?
Which operation should you use?
    The question implies addition.
Equation
 
# yellow pebbles + # black pebbles
total # pebbles		   =   2 + 1
4		   =  
3
4
Alternate equation
 
2
4		 + 1
4		   =  
3
4
#ProblemCorrect AnswerYour Answer
2Sharon and her mom made a tray of muffins. If Sharon ate 1/5 of the muffins and her mom ate 3/5 of the muffins. How much more of the muffins did her mom eat than Sharon?
Solution
The question is
    How much more of the muffins did her mom eat?
Which operation should you use?
    The phrase how much more implies subtraction.
Equation
 
3
5
−
1
5
  =  
2
5
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