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Fraction Word Problems 2 - 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.   Cindy runs 2/3 kilometer each day for 9 days. How many kilometers did she run total?
kilometers
2.   John uses 6 cups of cornmeal to make 9 servings of a recipe. How many cups of cornmeal does each serving need?
cups

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.
1.   There are 40 sweaters on a chair and 6/8 are green. How many sweaters on the chair are green?
sweaters
2.   Pearl runs 1/3 mile each day for 8 days. How many miles did she run total?
miles

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.
1.   There are 48 teddy bears on a desk and 4/8 are blue. How many teddy bears on the desk are blue?
teddy bears
2.   Paul uses 52/5 tablespoons of vanilla extract to make 6 servings of a recipe. How many tablespoons of vanilla extract does each serving need?
tablespoons

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.
1.   Cindy had 31/2 cans of paint and used 13/4 cans for a project. What fraction of the paint did she use?
2.   Steven had 11/2 cans of paint and used 3/8 can for an art project. What fraction of the paint did he use?

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.
1.   In a bakery, 1/3 of the customers buy cookies. Of those who buy cookies, 1/3 buy peanut butter cookies. What fraction of the customers in the bakery buy peanut butter cookies?
2.   In a classroom, 1/2 of the students like school. Of those who like school, 1/2 like recess. What fraction of the students in the classroom like recess?

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.
1.   In a restaurant, 4/6 of the diners order drinks. Of those who order drinks, 1/4 order coffee. What fraction of the diners in the restaurant order coffee?
2.   Peter had 33/10 yards of trim and used 33/40 yard for a costume. What fraction of the trim did he use?

Answers

Complexity=4, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Cindy runs 2/3 kilometer each day for 9 days. How many kilometers did she run total?
kilometers
Solution
What is the problem asking?
    Number of kilometers Cindy ran.
What information do you have?
    Cindy runs 2/3 kilometer each day for 9 days.
What operation do you use?
    The key word each implies either multiplication or division.
    Since we are given the number of days and the amount each day, this implies multiplication.
    Also, the key word total implies multiplication.
Equation
2
3
* 9 = 6
#ProblemCorrect AnswerYour Answer
2John uses 6 cups of cornmeal to make 9 servings of a recipe. How many cups of cornmeal does each serving need?
cups
Solution
What is the problem asking?
    Amount of cornmeal needed for each serving.
What information do you have?
    6 cups of cornmeal were used.
    9 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
6 ÷ 9 =
6
9
Simplify the answer.
6
9
=
2
3

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1There are 40 sweaters on a chair and 6/8 are green. How many sweaters on the chair are green?
sweaters
Solution
What is the problem asking?
    Number of sweaters that are green
What information do you have?
    6 out of every 8 sweaters (or 6/8) of the 40 sweaters are green.
What operation do you use?
    We are looking for a fraction of a group which means multiplication.
Equation
40 *
6
8
= 30
#ProblemCorrect AnswerYour Answer
2Pearl runs 1/3 mile each day for 8 days. How many miles did she run total?
miles
Solution
What is the problem asking?
    Number of miles Pearl ran.
What information do you have?
    Pearl runs 1/3 mile each day for 8 days.
What operation do you use?
    The key word each implies either multiplication or division.
    Since we are given the number of days and the amount each day, this implies multiplication.
    Also, the key word total implies multiplication.
Equation
1
3
* 8 =
2 2
3

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1There are 48 teddy bears on a desk and 4/8 are blue. How many teddy bears on the desk are blue?
teddy bears
Solution
What is the problem asking?
    Number of teddy bears that are blue
What information do you have?
    4 out of every 8 teddy bears (or 4/8) of the 48 teddy bears are blue.
What operation do you use?
    We are looking for a fraction of a group which means multiplication.
Equation
48 *
4
8
= 24
#ProblemCorrect AnswerYour Answer
2Paul uses 52/5 tablespoons of vanilla extract to make 6 servings of a recipe. How many tablespoons of vanilla extract does each serving need?
tablespoons
Solution
What is the problem asking?
    Amount of vanilla extract needed for each serving.
What information do you have?
    52/5 tablespoons of vanilla extract were used.
    6 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
5 2
5
÷ 6 =
9
10

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Cindy had 31/2 cans of paint and used 13/4 cans for a project. What fraction of the paint did she use?
Solution
What is the problem asking?
    Fraction of the paint that was used.
What information do you have?
    Cindy used 13/4 cans out of 31/2 cans.
What operation do you use?
    A fraction is the amount of something out of a total amount.
    This means division.
Equation
Fraction of paint used =
Amount of paint used
Total amount of paint
 =
13/4 cans
31/2 cans
1 3
4
÷
3 1
2
=
1
2
#ProblemCorrect AnswerYour Answer
2Steven had 11/2 cans of paint and used 3/8 can for an art project. What fraction of the paint did he use?
Solution
What is the problem asking?
    Fraction of the paint that was used.
What information do you have?
    Steven used 3/8 can out of 11/2 cans.
What operation do you use?
    A fraction is the amount of something out of a total amount.
    This means division.
Equation
Fraction of paint used =
Amount of paint used
Total amount of paint
 =
3/8 can
11/2 cans
3
8
÷
1 1
2
=
1
4

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1In a bakery, 1/3 of the customers buy cookies. Of those who buy cookies, 1/3 buy peanut butter cookies. What fraction of the customers in the bakery buy peanut butter cookies?
Solution
What is the problem asking?
    Fraction of the customers who buy peanut butter cookies.
What information do you have?
    1/3 of the customers buy cookies.
    1/3 buy peanut butter cookies of those customers who buy cookies.
What operation do you use?
    A fraction of something means multiplication.
Equation
1
3
*
1
3
=
1
9
#ProblemCorrect AnswerYour Answer
2In a classroom, 1/2 of the students like school. Of those who like school, 1/2 like recess. What fraction of the students in the classroom like recess?
Solution
What is the problem asking?
    Fraction of the students who like recess.
What information do you have?
    1/2 of the students like school.
    1/2 like recess of those students who like school.
What operation do you use?
    A fraction of something means multiplication.
Equation
1
2
*
1
2
=
1
4

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1In a restaurant, 4/6 of the diners order drinks. Of those who order drinks, 1/4 order coffee. What fraction of the diners in the restaurant order coffee?
Solution
What is the problem asking?
    Fraction of the diners who order coffee.
What information do you have?
    4/6 of the diners order drinks.
    1/4 order coffee of those diners who order drinks.
What operation do you use?
    A fraction of something means multiplication.
Equation
4
6
*
1
4
=
1
6
#ProblemCorrect AnswerYour Answer
2Peter had 33/10 yards of trim and used 33/40 yard for a costume. What fraction of the trim did he use?
Solution
What is the problem asking?
    Fraction of the trim that was used.
What information do you have?
    Peter used 33/40 yard out of 33/10 yards.
What operation do you use?
    A fraction is the amount of something out of a total amount.
    This means division.
Equation
Fraction of trim used =
Amount of trim used
Total amount of trim
 =
33/40 yard
33/10 yards
33
40
÷
3 3
10
=
1
4
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