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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.   A cake is cut into 4 slices. If Julia ate 1 slice and her dad ate 2 slices, what part of the cake did they eat?
2.   Jasmine weeded 3/5 of her garden in the morning and 1/5 of the garden in the afternoon. What part of the garden did she weed altogether?

Complexity=1, Mode=sub

Solve. Give the answer in simplest form.
1.   A bowl holds 6 beads. If Tiffany takes 4 beads from the bowl, what fraction of the beads is left in the bowl?
2.   Seema and Nina made a pan of brownies. If Seema ate 1/3 of the brownies and Nina ate 2/3 of the brownies. How much more of the brownies did Nina eat than Seema?

Complexity=1

Solve. Give the answer in simplest form.
1.   A jar holds 12 buttons. If Danny takes 3 buttons from the jar, what fraction of the buttons is left in the jar?
2.   Antonio cleaned 2/3 of his house in the morning and 1/3 of the house in the afternoon. What part of the house did he clean altogether?

Answers

Complexity=1, Mode=add

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1A cake is cut into 4 slices. If Julia ate 1 slice and her dad ate 2 slices, what part of the cake did they eat?
Solution
The question is
    What part of the cake did they eat?
Which operation should you use?
    The question implies addition.
Equation
 
# slices eaten
total # of slices		   =   1 + 2
4		   =  
3
4
Alternate equation
 
1
4		 + 2
4		   =  
3
4
#ProblemCorrect AnswerYour Answer
2Jasmine weeded 3/5 of her garden in the morning and 1/5 of the garden in the afternoon. What part of the garden did she weed altogether?
Solution
The question is
    What part of the garden did she weed altogether?
Which operation should you use?
    The key word altogether implies addition.
Equation
3
5
+
1
5
=
4
5

Complexity=1, Mode=sub

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1A bowl holds 6 beads. If Tiffany takes 4 beads from the bowl, what fraction of the beads is left in the bowl?
Solution
The question is
    What fraction of the beads is left?
Which operation should you use?
    The keyword left implies subtraction.
Equation
  # items left
total # of items		   =   total # of items - # items taken
total # of items		   =   6 beads - 4 beads
6 beads		   =  
2
6
Alternate equation
  1  −  4
6		   =   6
6		  −  4
6		   =  
2
6

Simplify the answer.
2
6
=
1
3
#ProblemCorrect AnswerYour Answer
2Seema and Nina made a pan of brownies. If Seema ate 1/3 of the brownies and Nina ate 2/3 of the brownies. How much more of the brownies did Nina eat than Seema?
Solution
The question is
    How much more of the brownies did Nina eat?
Which operation should you use?
    The phrase how much more implies subtraction.
Equation
 
2
3
−
1
3
  =  
1
3

Complexity=1

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1A jar holds 12 buttons. If Danny takes 3 buttons from the jar, what fraction of the buttons is left in the jar?
Solution
The question is
    What fraction of the buttons is left?
Which operation should you use?
    The keyword left implies subtraction.
Equation
  # items left
total # of items		   =   total # of items - # items taken
total # of items		   =   12 buttons - 3 buttons
12 buttons		   =  
9
12
Alternate equation
  1  −  3
12		   =   12
12		  −  3
12		   =  
9
12

Simplify the answer.
9
12
=
3
4
#ProblemCorrect AnswerYour Answer
2Antonio cleaned 2/3 of his house in the morning and 1/3 of the house in the afternoon. What part of the house did he clean altogether?
Solution
The question is
    What part of the house did he clean altogether?
Which operation should you use?
    The key word altogether implies addition.
Equation
2
3
+
1
3
=
3
3

Simplify the answer.
3
3
= 1
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