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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=4, Mode=simple

Solve. Give the answer in simplest form.

1.  
Pearl runs 1 kilometer on Saturday and 1/2 kilometer on Sunday. How many more kilometers did she run on Saturday than on Sunday?
kilometers
2.  
Peter has one cup of sugar and half of a cup of vegetable oil. How many more cups of sugar than vegetable oil does he have?
cups

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

1.  
Miguel has 2/5 cup of peanuts and 1/3 cup of dried cherries. How many cups of food does he have?
cups
2.  
There are 3 peaches, 6 pears, and 8 oranges on a table. What fraction of the pieces of fruit are peaches?

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

1.  
Mary has three-fourths of a pound of gumdrops and five-eighths of a pound of chocolates. How many pounds of candy does she have?
pounds
2.  
Jose has 1/2 kilogram of beets and 3/8 kilogram of tomatoes. How many more kilograms of beets than tomatoes does he have?
kilograms

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

1.  
Pearl has 32/3 kilograms of bananas and 3/4 kilogram of peaches. How many kilograms of fruit does she have?
kilograms
2.  
Cindy has one and two-thirds kilograms of jelly beans and two and a quarter kilograms of lollipops. How many kilograms of candy does she have?
kilograms

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

1.  
Pearl runs 12/5 miles on Friday and 3/8 mile on Saturday. How many more miles did she run on Friday than on Saturday?
miles
2.  
Cindy runs 25/7 kilometers on Monday and 22/7 kilometers on Tuesday. How many more kilometers did she run on Monday than on Tuesday?
kilometers

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

1.  
Pearl has three and two-fifths cups of flour and seven-eighths of a cup of butter. How many more cups of flour than butter does she have?
cups
2.  
Jose has 33/4 cups of milk and 21/3 cups of butter. How many more cups of milk than butter does he have?
cups

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

1.  
John has 8/9 yard of black trim and 3/4 yard of violet trim. If he has a total of 18/9 yards of trim, how many yards of trim are neither black nor violet?
yards
2.  
Paul has 1/4 yard of purple beads and 1/3 yard of violet beads. If he has a total of 21/3 yards of beads, how many yards of beads are neither purple nor violet?
yards

Answers

Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Pearl runs 1 kilometer on Saturday and 1/2 kilometer on Sunday. How many more kilometers did she run on Saturday than on Sunday?
kilometers
Solution
The question is
    How many more kilometers did she run on Saturday than on Sunday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
1 -
1
2
=
1
2
#ProblemCorrect AnswerYour Answer
2Peter has one cup of sugar and half of a cup of vegetable oil. How many more cups of sugar than vegetable oil does he have?
cups
Solution
The question is
    How many more cups of sugar than vegetable oil does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
1 -
1
2
=
1
2

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Miguel has 2/5 cup of peanuts and 1/3 cup of dried cherries. How many cups of food does he have?
cups
Solution
The question is
    How many cups of food does he have?
Which operation should you use?
    The question implies addition.
Equation
2
5
+
1
3
=
11
15
#ProblemCorrect AnswerYour Answer
2There are 3 peaches, 6 pears, and 8 oranges on a table. What fraction of the pieces of fruit are peaches?
Solution
The fraction of pieces of fruit that are peaches is
# peaches
Total # of pieces of fruit
=
3
3 + 6 + 8
=
3
17

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Mary has three-fourths of a pound of gumdrops and five-eighths of a pound of chocolates. How many pounds of candy does she have?
pounds
Solution
The question is
    How many pounds of candy does she have?
Which operation should you use?
    The question implies addition.
Equation
3
4
+
5
8
=
1 3
8
#ProblemCorrect AnswerYour Answer
2Jose has 1/2 kilogram of beets and 3/8 kilogram of tomatoes. How many more kilograms of beets than tomatoes does he have?
kilograms
Solution
The question is
    How many more kilograms of beets than tomatoes does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
1
2
-
3
8
=
1
8

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Pearl has 32/3 kilograms of bananas and 3/4 kilogram of peaches. How many kilograms of fruit does she have?
kilograms
Solution
The question is
    How many kilograms of fruit does she have?
Which operation should you use?
    The question implies addition.
Equation
3 2
3
+
3
4
=
4 5
12
#ProblemCorrect AnswerYour Answer
2Cindy has one and two-thirds kilograms of jelly beans and two and a quarter kilograms of lollipops. How many kilograms of candy does she have?
kilograms
Solution
The question is
    How many kilograms of candy does she have?
Which operation should you use?
    The question implies addition.
Equation
1 2
3
+
2 1
4
=
3 11
12

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Pearl runs 12/5 miles on Friday and 3/8 mile on Saturday. How many more miles did she run on Friday than on Saturday?
miles
Solution
The question is
    How many more miles did she run on Friday than on Saturday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
1 2
5
-
3
8
=
1 1
40
#ProblemCorrect AnswerYour Answer
2Cindy runs 25/7 kilometers on Monday and 22/7 kilometers on Tuesday. How many more kilometers did she run on Monday than on Tuesday?
kilometers
Solution
The question is
    How many more kilometers did she run on Monday than on Tuesday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
2 5
7
-
2 2
7
=
3
7

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Pearl has three and two-fifths cups of flour and seven-eighths of a cup of butter. How many more cups of flour than butter does she have?
cups
Solution
The question is
    How many more cups of flour than butter does she have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
3 2
5
-
7
8
=
2 21
40
#ProblemCorrect AnswerYour Answer
2Jose has 33/4 cups of milk and 21/3 cups of butter. How many more cups of milk than butter does he have?
cups
Solution
The question is
    How many more cups of milk than butter does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
3 3
4
-
2 1
3
=
1 5
12

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1John has 8/9 yard of black trim and 3/4 yard of violet trim. If he has a total of 18/9 yards of trim, how many yards of trim are neither black nor violet?
yards
Solution
1 8
9
-
8
9
-
3
4
=
1
4
#ProblemCorrect AnswerYour Answer
2Paul has 1/4 yard of purple beads and 1/3 yard of violet beads. If he has a total of 21/3 yards of beads, how many yards of beads are neither purple nor violet?
yards
Solution
2 1
3
-
1
4
-
1
3
=
1 3
4
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