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Basic Fraction Word Problems 3 - 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=10, Mode=a

Solve. Give the answer in simplest form.

1.  
Tiffany uses 1/8 cup of raisins to make 10 servings of a recipe. How many cups of raisins does each serving need?

cups
2.  
If 5 people share 1/7 pound of peanuts, how many pounds of peanuts does each person get?

pounds

Complexity=10, Mode=b

Solve. Give the answer in simplest form.

1.  
How many 1/3-liter servings are in 8 liters of juice?

servings
2.  
Michelle is skating at the community rink. If one lap is 1/7 mile long, how many laps should she skate for a total of 3 miles?

laps

Complexity=10, Mode=ab

Solve. Give the answer in simplest form.

1.  
When you divide a 1/5-kilogram bag of cornmeal equally into 4 smaller bags, how much cornmeal is in each bag?

kilograms
2.  
If 2 people share 1/5 kilogram of cheese, how many kilograms of cheese does each person get?

kilograms

Answers


Complexity=10, Mode=a

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1Tiffany uses 1/8 cup of raisins to make 10 servings of a recipe. How many cups of raisins does each serving need?

cups
Solution
What is the problem asking?
    Amount of raisins needed for each serving.
What information do you have?
    1/8 cup of raisins were used.
    10 servings were made.
What operation do you use?
    Since the question asks to find the amount per part (or for each serving), this implies division.
Equation
1
8
÷ 10 =
1
80
#ProblemCorrect AnswerYour Answer
2If 5 people share 1/7 pound of peanuts, how many pounds of peanuts does each person get?

pounds
Solution
What is the problem asking?
    Amount of peanuts each person gets.
What information do you have?
    5 people will share 1/7 pound of peanuts.
What operation do you use?
    Since we are given the total amount and the number of people (or groups), this implies division.
Equation:
1
7
÷ 5 =
1
35

Complexity=10, Mode=b

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1How many 1/3-liter servings are in 8 liters of juice?

servings
Solution
What is the problem asking?
    Number of servings.
What information do you have?
    Each serving is 1/3 of a liter.
    There are 8 liters.
What operation do you use?
    Since we are given the total number of liters and the size of each serving, this implies division.
Equation:
8 ÷
1
3
= 24
#ProblemCorrect AnswerYour Answer
2Michelle is skating at the community rink. If one lap is 1/7 mile long, how many laps should she skate for a total of 3 miles?

laps
Solution
What is the problem asking?
    Number of laps.
What information do you have?
    Each lap is 1/7 mile long.
    Michelle wants to skate 3 miles.
What operation do you use?
    Since we are given the total number of miles and the length of each lap, this implies division.
Equation:
3 ÷
1
7
= 21

Complexity=10, Mode=ab

Solve. Give the answer in simplest form.

#ProblemCorrect AnswerYour Answer
1When you divide a 1/5-kilogram bag of cornmeal equally into 4 smaller bags, how much cornmeal is in each bag?

kilograms
Solution
What is the problem asking?
    Amount in each bag.
What information do you have?
    A 1/5 kilogram bag will be divided into 4 smaller bags.
What operation do you use?
    The word divide means division.
    total weight ÷ number of groups = weight of each group
Equation:
1
5
÷ 4 =
1
20
#ProblemCorrect AnswerYour Answer
2If 2 people share 1/5 kilogram of cheese, how many kilograms of cheese does each person get?

kilograms
Solution
What is the problem asking?
    Amount of cheese each person gets.
What information do you have?
    2 people will share 1/5 kilogram of cheese.
What operation do you use?
    Since we are given the total amount and the number of people (or groups), this implies division.
Equation:
1
5
÷ 2 =
1
10
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