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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.   Cindy uses 1/8 kilogram of apples to make 3 servings of a recipe. How many kilograms of apples does each serving need?

kilograms
2.   If 2 people share 1/6 kilogram of candy, how many kilograms of candy does each person get?

kilograms

Complexity=10, Mode=b

Solve. Give the answer in simplest form.
1.   Julia is skating at the community rink. If one lap is 1/10 mile long, how many laps should she skate for a total of 7 miles?

laps
2.   How many 1/10-liter servings are in 2 liters of lemonade?

servings

Complexity=10, Mode=ab

Solve. Give the answer in simplest form.
1.   If 2 people share 1/8 pound of candy, how many pounds of candy does each person get?

pounds
2.   If 7 people share 1/4 kilogram of beans, how many kilograms of beans does each person get?

kilograms

Answers


Complexity=10, Mode=a

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Cindy uses 1/8 kilogram of apples to make 3 servings of a recipe. How many kilograms of apples does each serving need?

kilograms
Solution
What is the problem asking?
    Amount of apples needed for each serving.
What information do you have?
    1/8 kilogram of apples were used.
    3 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
÷ 3 =
1
24
#ProblemCorrect AnswerYour Answer
2If 2 people share 1/6 kilogram of candy, how many kilograms of candy does each person get?

kilograms
Solution
What is the problem asking?
    Amount of candy each person gets.
What information do you have?
    2 people will share 1/6 kilogram of candy.
What operation do you use?
    Since we are given the total amount and the number of people (or groups), this implies division.
Equation:
1
6
÷ 2 =
1
12

Complexity=10, Mode=b

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Julia is skating at the community rink. If one lap is 1/10 mile long, how many laps should she skate for a total of 7 miles?

laps
Solution
What is the problem asking?
    Number of laps.
What information do you have?
    Each lap is 1/10 mile long.
    Julia wants to skate 7 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:
7 ÷
1
10
= 70
#ProblemCorrect AnswerYour Answer
2How many 1/10-liter servings are in 2 liters of lemonade?

servings
Solution
What is the problem asking?
    Number of servings.
What information do you have?
    Each serving is 1/10 of a liter.
    There are 2 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:
2 ÷
1
10
= 20

Complexity=10, Mode=ab

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1If 2 people share 1/8 pound of candy, how many pounds of candy does each person get?

pounds
Solution
What is the problem asking?
    Amount of candy each person gets.
What information do you have?
    2 people will share 1/8 pound of candy.
What operation do you use?
    Since we are given the total amount and the number of people (or groups), this implies division.
Equation:
1
8
÷ 2 =
1
16
#ProblemCorrect AnswerYour Answer
2If 7 people share 1/4 kilogram of beans, how many kilograms of beans does each person get?

kilograms
Solution
What is the problem asking?
    Amount of beans each person gets.
What information do you have?
    7 people will share 1/4 kilogram of beans.
What operation do you use?
    Since we are given the total amount and the number of people (or groups), this implies division.
Equation:
1
4
÷ 7 =
1
28
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