Math Practice Problems - Fraction Word Problems 2

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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=8, Mode=simple

Solve. Give the answer in simplest form.

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Answers

Complexity=4, Mode=simple

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

Peter uses 2 cups of buttermilk to make 4 servings of a recipe. How many cups of buttermilk does each serving need?

cups

Solution
What is the problem asking?
Amount of buttermilk needed for each serving.
What information do you have?
2 cups of buttermilk were used.
4 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

Simplify the answer.

Problem

Correct Answer

Your Answer

There are 32 gems on a necklace and ¹/₄ of them are brown.
How many gems on the necklace are brown?

gems

Solution
What is the problem asking?
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

Complexity=8, Mode=simple

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

Miguel practices ⁶/₇ hour of soccer each day for 3 days. How many hours of soccer did he practice total?

hours of soccer

Solution
What is the problem asking?
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

Problem

Correct Answer

Your Answer

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

Solution
What is the problem asking?
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

Complexity=12, Mode=simple

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

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

Solution
What is the problem asking?
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

Simplify the answer.

Problem

Correct Answer

Your Answer

Miguel practices ¹⁰/₁₂ hour of tennis each day for 2 days. How many hours of tennis did he practice total?

hours of tennis

Solution
What is the problem asking?
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

Complexity=4, Mode=mixed

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

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?

Solution
What is the problem asking?
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

Problem

Correct Answer

Your Answer

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?

Solution
What is the problem asking?
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

Complexity=8, Mode=mixed

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

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?

Solution
What is the problem asking?
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

Problem

Correct Answer

Your Answer

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

Solution
What is the problem asking?
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

Complexity=12, Mode=mixed

Solve. Give the answer in simplest form.

Problem

Correct Answer

Your Answer

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

Solution
What is the problem asking?
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

Problem

Correct Answer

Your Answer

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

Solution
What is the problem asking?
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

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