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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.

See some of our other supported math practice problems.

### Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

1.
Peter uses 2 cups of buttermilk to make 4 servings of a recipe. How many cups of buttermilk does each serving need?
 cups
2.
There are 32 gems on a necklace and 1/4 of them are brown.
How many gems on the necklace are brown?
gems

### Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

1.
Miguel practices 6/7 hour of soccer each day for 3 days. How many hours of soccer did he practice total?
 hours of soccer
2.
There are 14 party hats at a party and 4/7 of them are white.
How many party hats at the party are not white?
party hats

### Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

1.
Mike plans to practice 13/5 hours of violin in 4 days. If he wants to practice the same amount each day, how many hours of violin will he practice each day?
 hours of violin
2.
Miguel practices 10/12 hour of tennis each day for 2 days. How many hours of tennis did he practice total?
 hours of tennis

### Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

1.
In a restaurant, 2/3 of the diners order drinks. Of those who order drinks, 1/2 order coffee. What fraction of the diners in the restaurant order coffee?
2.
In a classroom, 1/3 of the students like school. Of those who like school, 1/3 like science. What fraction of the students in the classroom like science?

### Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

1.
In a city, 3/4 of the people own pets. Of those who own pets, 4/6 own goldfish. What fraction of the people in the city own goldfish?
2.
Sharon had 13/5 gallons of paint and used only 6/8 of that for a project. How many gallons of paint did she use?
 gallons

### Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

1.
John had 21/4 meters of felt and used only 3/12 of that for a costume. How many meters of felt did he use?
 meters
2.
Jose had 3/4 gallon of paint and used only 2/4 of that for a project. How many gallons of paint did he use?
 gallons

### Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

1Peter uses 2 cups of buttermilk to make 4 servings of a recipe. How many cups of buttermilk does each serving need?
 cups
Solution
Amount of buttermilk needed for each serving.
What information do you have?
2 cups of buttermilk were used.
What operation do you use?
Since the question asks to find the amount per part (or for each serving), this implies division.
Equation
2 ÷ 4 =
 24
 24
=
 12
2There are 32 gems on a necklace and 1/4 of them are brown.
How many gems on the necklace are brown?
gems
Solution
Number of gems that are brown
What information do you have?
1 out of every 4 gems (or 1/4) of the 32 gems are brown.
What operation do you use?
We are looking for a fraction of a group which means multiplication.
Equation
32 *
 14
= 8

### Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

1Miguel practices 6/7 hour of soccer each day for 3 days. How many hours of soccer did he practice total?
 hours of soccer
Solution
Number of hours of soccer Miguel practiced.
What information do you have?
Miguel practices 6/7 hour of soccer each day for 3 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
 67
* 3 =
 2 47
2There are 14 party hats at a party and 4/7 of them are white.
How many party hats at the party are not white?
party hats
Solution
Number of party hats that are not white
What information do you have?
4 out of every 7 party hats (or 4/7) of the 14 party hats are white.
This means that 3 out of every 7 party hats (or 3/7) of the 14 party hats are not white.
What operation do you use?
We are looking for a fraction of a group which means multiplication.
Equation
14 *
 37
= 6

### Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

1Mike plans to practice 13/5 hours of violin in 4 days. If he wants to practice the same amount each day, how many hours of violin will he practice each day?
 hours of violin
Solution
Amount Mike will practice each day.
What information do you have?
Mike will practice 13/5 hours of violin in 4 days.
What operation do you use?
Since the question asks to find the amount per part (or for each day), this implies division.
Equation
 1 35
÷ 4 =
 410
 410
=
 25
2Miguel practices 10/12 hour of tennis each day for 2 days. How many hours of tennis did he practice total?
 hours of tennis
Solution
Number of hours of tennis Miguel practiced.
What information do you have?
Miguel practices 10/12 hour of tennis each day for 2 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
 1012
* 2 =
 1 23

### Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

1In a restaurant, 2/3 of the diners order drinks. Of those who order drinks, 1/2 order coffee. What fraction of the diners in the restaurant order coffee?
Solution
Fraction of the diners who order coffee.
What information do you have?
2/3 of the diners order drinks.
1/2 order coffee of those diners who order drinks.
What operation do you use?
A fraction of something means multiplication.
Equation
 23
*
 12
=
 13
2In a classroom, 1/3 of the students like school. Of those who like school, 1/3 like science. What fraction of the students in the classroom like science?
Solution
Fraction of the students who like science.
What information do you have?
1/3 of the students like school.
1/3 like science of those students who like school.
What operation do you use?
A fraction of something means multiplication.
Equation
 13
*
 13
=
 19

### Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

1In a city, 3/4 of the people own pets. Of those who own pets, 4/6 own goldfish. What fraction of the people in the city own goldfish?
Solution
Fraction of the people who own goldfish.
What information do you have?
3/4 of the people own pets.
4/6 own goldfish of those people who own pets.
What operation do you use?
A fraction of something means multiplication.
Equation
 34
*
 46
=
 12
2Sharon had 13/5 gallons of paint and used only 6/8 of that for a project. How many gallons of paint did she use?
 gallons
Solution
Amount of paint Sharon used.
What information do you have?
Sharon had 13/5 gallons of paint.
She used 6/8 of her paint.
What operation do you use?
A fraction of something means multiplication.
Equation
 1 35
*
 68
=
 1 15

### Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

1John had 21/4 meters of felt and used only 3/12 of that for a costume. How many meters of felt did he use?
 meters
Solution
Amount of felt John used.
What information do you have?
John had 21/4 meters of felt.
He used 3/12 of his felt.
What operation do you use?
A fraction of something means multiplication.
Equation
 2 14
*
 312
=
 916
2Jose had 3/4 gallon of paint and used only 2/4 of that for a project. How many gallons of paint did he use?
 gallons
Solution
Amount of paint Jose used.
What information do you have?
Jose had 3/4 gallon of paint.
He used 2/4 of his paint.
What operation do you use?
A fraction of something means multiplication.
Equation
 34
*
 24
=
 38