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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 practices one hour of soccer on Saturday and two-thirds of an hour of soccer on Sunday. How many more hours of soccer did she practice on Saturday than on Sunday?

hours of soccer
2.   Mike has 2 pizzas and eats 1 pizza. What fraction of the pizzas are left?


Complexity=8, Mode=simple

Solve. Give the answer in simplest form.
1.   Steven has five-sixths of a pound of jelly beans and a third of a pound of gummi bears. How many more pounds of jelly beans than gummi bears does he have?

pounds
2.   Mary has 10 cookies and eats 6 cookies. What fraction of the cookies are left?


Complexity=12, Mode=simple

Solve. Give the answer in simplest form.
1.   There are 4 apples, 12 bananas, and 2 melons on a table. What fraction of the pieces of fruit are apples?

2.   Miguel has 1/3 cup of milk and 1/3 cup of brown sugar. How many cups of ingredients does he have?

cups

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.
1.   Mike has 21/2 cups of granolas and 11/2 cups of dried cherries. How many more cups of granolas than dried cherries does he have?

cups
2.   Peter runs 3/4 mile on Monday and 11/4 miles on Tuesday. How many total miles did he run?

miles

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.
1.   Peter has 21/3 cups of flour and 13/4 cups of sugar. How many more cups of flour than sugar does he have?

cups
2.   Steven runs 23/4 kilometers on Friday and 1/4 kilometer on Saturday. How many more kilometers did he run on Friday than on Saturday?

kilometers

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.
1.   Jennifer has three and five-ninths pounds of peanuts and three and a quarter pounds of cashews. How many pounds of food does she have?

pounds
2.   Jose runs 32/3 miles on Tuesday and 31/10 miles on Wednesday. How many more miles did he run on Tuesday than on Wednesday?

miles

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.
1.   Miguel practices 11/9 hours of soccer on Wednesday, 12/9 hours of soccer on Thursday, and 1/10 hour of soccer on Friday. How many hours of soccer did he practice altogether?

hours of soccer
2.   Paul practices a tenth of an hour of basketball on Friday, two and a quarter hours of basketball on Saturday, and one and five-sixths hours of basketball on Sunday. How many hours of basketball did he practice altogether?

hours of basketball

Answers


Complexity=4, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Pearl practices one hour of soccer on Saturday and two-thirds of an hour of soccer on Sunday. How many more hours of soccer did she practice on Saturday than on Sunday?

hours of soccer
Solution
The question is
    How many more hours of soccer did she practice on Saturday than on Sunday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
1 -
2
3
=
1
3
#ProblemCorrect AnswerYour Answer
2Mike has 2 pizzas and eats 1 pizza. What fraction of the pizzas are left?

Solution
The fraction of pizzas that are left is
Total # of pizzas - # pizzas eaten
Total # of pizzas
=
2 - 1
2
=
1
2

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Steven has five-sixths of a pound of jelly beans and a third of a pound of gummi bears. How many more pounds of jelly beans than gummi bears does he have?

pounds
Solution
The question is
    How many more pounds of jelly beans than gummi bears does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
5
6
-
1
3
=
1
2
#ProblemCorrect AnswerYour Answer
2Mary has 10 cookies and eats 6 cookies. What fraction of the cookies are left?

Solution
The fraction of cookies that are left is
Total # of cookies - # cookies eaten
Total # of cookies
=
10 - 6
10
=
4
10

Simplify the answer.
4
10
=
2
5

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1There are 4 apples, 12 bananas, and 2 melons on a table. What fraction of the pieces of fruit are apples?

Solution
The fraction of pieces of fruit that are apples is
# apples
Total # of pieces of fruit
=
4
4 + 12 + 2
=
4
18

Simplify the answer.
4
18
=
2
9
#ProblemCorrect AnswerYour Answer
2Miguel has 1/3 cup of milk and 1/3 cup of brown sugar. How many cups of ingredients does he have?

cups
Solution
The question is
    How many cups of ingredients does he have?
Which operation should you use?
    The question implies addition.
Equation
1
3
+
1
3
=
2
3

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Mike has 21/2 cups of granolas and 11/2 cups of dried cherries. How many more cups of granolas than dried cherries does he have?

cups
Solution
The question is
    How many more cups of granolas than dried cherries does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
2 1
2
-
1 1
2
= 1
#ProblemCorrect AnswerYour Answer
2Peter runs 3/4 mile on Monday and 11/4 miles on Tuesday. How many total miles did he run?

miles
Solution
The question is
    How many total miles did he run?
Which operation should you use?
    The key word total implies addition.
Equation
3
4
+
1 1
4
= 2

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Peter has 21/3 cups of flour and 13/4 cups of sugar. How many more cups of flour than sugar does he have?

cups
Solution
The question is
    How many more cups of flour than sugar does he have?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
2 1
3
-
1 3
4
=
7
12
#ProblemCorrect AnswerYour Answer
2Steven runs 23/4 kilometers on Friday and 1/4 kilometer on Saturday. How many more kilometers did he run on Friday than on Saturday?

kilometers
Solution
The question is
    How many more kilometers did he run on Friday than on Saturday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
2 3
4
-
1
4
=
2 1
2

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Jennifer has three and five-ninths pounds of peanuts and three and a quarter pounds of cashews. How many pounds of food does she have?

pounds
Solution
The question is
    How many pounds of food does she have?
Which operation should you use?
    The question implies addition.
Equation
3 5
9
+
3 1
4
=
6 29
36
#ProblemCorrect AnswerYour Answer
2Jose runs 32/3 miles on Tuesday and 31/10 miles on Wednesday. How many more miles did he run on Tuesday than on Wednesday?

miles
Solution
The question is
    How many more miles did he run on Tuesday than on Wednesday?
Which operation should you use?
    The key words how many more imply subtraction.
Equation
3 2
3
-
3 1
10
=
17
30

Complexity=12, Mode=3 mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Miguel practices 11/9 hours of soccer on Wednesday, 12/9 hours of soccer on Thursday, and 1/10 hour of soccer on Friday. How many hours of soccer did he practice altogether?

hours of soccer
Solution
1 1
9
+
1 2
9
+
1
10
=
2 13
30
#ProblemCorrect AnswerYour Answer
2Paul practices a tenth of an hour of basketball on Friday, two and a quarter hours of basketball on Saturday, and one and five-sixths hours of basketball on Sunday. How many hours of basketball did he practice altogether?

hours of basketball
Solution
1
10
+
2 1
4
+
1 5
6
=
4 11
60
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