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Basic 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=5, Mode=simple

Solve. Give the answer in simplest form.
1.   There are 20 vegetables in a basket. If 1/5 are green beans, how many green beans are there?

green beans
2.   Mike practices 3/4 hour of baseball each day for 20 days. How many hours of baseball did he practice total?

hours of baseball

Complexity=10, Mode=simple

Solve. Give the answer in simplest form.
1.   There are 60 animals in a zoo. If 3/10 are lions, how many lions are there?

lions
2.   A recipe calls for 4/12 pound of almonds per serving. How many pounds of almonds are needed to make 24 servings?

pounds

Complexity=5, Mode=mixed

Solve. Give the answer in simplest form.
1.   Mike practices 1/4 hour of violin each day for 5 days. How many hours of violin did he practice total?

hours of violin
2.   A recipe calls for 1/8 tablespoon of baking powder per serving. How many tablespoons of baking powder are needed to make 2 servings?

tablespoons

Complexity=10, Mode=mixed

Solve. Give the answer in simplest form.
1.   A recipe calls for 3/10 tablespoon of food coloring per serving. How many tablespoons of food coloring are needed to make 5 servings?

tablespoons
2.   There are 8 pieces of candy in a candy dish. If 1/3 are candy bars, how many candy bars are there?

candy bars

Answers


Complexity=5, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1There are 20 vegetables in a basket. If 1/5 are green beans, how many green beans are there?

green beans
Solution
What is the problem asking?
    Number of green beans
What information do you have?
    1 out of every 5 vegetables (or 1/5) of the 20 vegetables are green beans.
What operation do you use?
    We are looking for a fraction of a group which means multiplication.
Equation
20 *
1
5
= 4
#ProblemCorrect AnswerYour Answer
2Mike practices 3/4 hour of baseball each day for 20 days. How many hours of baseball did he practice total?

hours of baseball
Solution
What is the problem asking?
    Number of hours of baseball Mike practiced.
What information do you have?
    Mike practices 3/4 hour of baseball each day for 20 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
3
4
* 20 = 15

Complexity=10, Mode=simple

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1There are 60 animals in a zoo. If 3/10 are lions, how many lions are there?

lions
Solution
What is the problem asking?
    Number of lions
What information do you have?
    3 out of every 10 animals (or 3/10) of the 60 animals are lions.
What operation do you use?
    We are looking for a fraction of a group which means multiplication.
Equation
60 *
3
10
= 18
#ProblemCorrect AnswerYour Answer
2A recipe calls for 4/12 pound of almonds per serving. How many pounds of almonds are needed to make 24 servings?

pounds
Solution
What is the problem asking?
    Amount of almond needed to make 24 servings.
What information do you have?
    4/12 pound of almonds are needed per serving.
    24 servings are needed.
What operation do you use?
    The key word per implies either multiplication or division.
    Since we are given the number of servings and the amount in each serving, this implies multiplication.
Equation
4
12
* 24 = 8

Complexity=5, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1Mike practices 1/4 hour of violin each day for 5 days. How many hours of violin did he practice total?

hours of violin
Solution
What is the problem asking?
    Number of hours of violin Mike practiced.
What information do you have?
    Mike practices 1/4 hour of violin each day for 5 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
4
* 5 =
1 1
4
#ProblemCorrect AnswerYour Answer
2A recipe calls for 1/8 tablespoon of baking powder per serving. How many tablespoons of baking powder are needed to make 2 servings?

tablespoons
Solution
What is the problem asking?
    Amount of baking powder needed to make 2 servings.
What information do you have?
    1/8 tablespoon of baking powder are needed per serving.
    2 servings are needed.
What operation do you use?
    The key word per implies either multiplication or division.
    Since we are given the number of servings and the amount in each serving, this implies multiplication.
Equation
1
8
* 2 =
1
4

Complexity=10, Mode=mixed

Solve. Give the answer in simplest form.
#ProblemCorrect AnswerYour Answer
1A recipe calls for 3/10 tablespoon of food coloring per serving. How many tablespoons of food coloring are needed to make 5 servings?

tablespoons
Solution
What is the problem asking?
    Amount of food coloring needed to make 5 servings.
What information do you have?
    3/10 tablespoon of food coloring are needed per serving.
    5 servings are needed.
What operation do you use?
    The key word per implies either multiplication or division.
    Since we are given the number of servings and the amount in each serving, this implies multiplication.
Equation
3
10
* 5 =
1 1
2
#ProblemCorrect AnswerYour Answer
2There are 8 pieces of candy in a candy dish. If 1/3 are candy bars, how many candy bars are there?

candy bars
Solution
What is the problem asking?
    Number of candy bars
What information do you have?
    1 out of every 3 pieces of candy (or 1/3) of the 8 pieces of candy are candy bars.
What operation do you use?
    We are looking for a fraction of a group which means multiplication.
Equation
8 *
1
3
=
2 2
3
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