Date: May 14, 2023

# Solving Word Problems Involving Fractions Worksheet

Instructions: Solve the following problems involving fractions. Write your answers in simplest form.

## Part 1: Addition and Subtraction

1. A recipe calls for 3/4 cup of sugar and 1/2 cup of flour. How much of these ingredients are needed if you want to double the recipe?

2. John ran 2/3 mile on Monday and 1/4 mile on Tuesday. How far did he run in total?

3. A pizza was divided into 8 equal slices. If 3/4 of the pizza was eaten, how many slices were left?

4. A classroom has 16 students. If 5/8 of the students are girls, how many boys are in the class?

5. The length of a rectangle is 7/8 inch and the width is 3/4 inch. What is the perimeter of the rectangle?

## Part 2: Multiplication and Division

1. A car can travel 1/4 mile on 1/8 gallon of gas. How many miles can it travel on 1/2 gallon of gas?

2. A recipe calls for 2/3 cup of flour and makes 12 muffins. How much flour is needed to make 24 muffins?

3. A piece of wood is 3/4 inch thick. If it is cut into 6 equal pieces, how thick is each piece?

4. 1/3 of a pizza is shared equally among 4 people. What fraction of the whole pizza did each person receive?

5. A store sells 1/2 pound of candy for \$3. If you want to buy 1 and 1/2 pounds of candy, how much will it cost?

## Part 3: Mixed Operations

1. A recipe calls for 1/2 cup of sugar and 1/4 cup of butter. If you only have 1/3 cup of butter, how much sugar do you need to use to keep the recipe in proportion?

2. A school has 300 students. If 3/5 of the students are in the music club and 1/4 of those students play the piano, how many students play the piano?

3. A chef has 1/2 gallon of soup. He serves 1/3 of it for lunch and 1/4 of what is left for dinner. How much soup is left for the next day?

4. A rectangular box has a length of 2/3 foot, a width of 1/2 foot, and a height of 3/4 foot. What is the volume of the box?

5. A car uses 1/4 gallon of gas to travel 12 miles. How many gallons of gas will it use to travel 60 miles?

## Part 4: Comparing Fractions

1. Compare 3/4 and 7/8. Which is greater?

2. Compare 1/2 and 5/6. Which is lesser?

3. Compare 2/3 and 1/2. Which is greater?

4. Compare 4/5 and 3/4. Which is lesser?

5. Compare 2/5 and 3/7. Which is greater?

## Part 5: Word Problems

1. A pizza was divided into 10 slices. If John ate 3/5 of the pizza, how many slices did he eat?

2. A recipe calls for 1/3 cup of milk and 1/4 cup of sugar. If you want to make half of the recipe, how much milk and sugar do you need?

3. A school has 500 students. If 2/5 of the students are boys, how many boys are in the school?

4. A rectangle has an area of 3/8 square units and a width of 1/4 unit. What is the length of the rectangle?

5. A store sells 1/4 pound of candy for \$2. If you have \$20, how many pounds of candy can you buy?

Note: This worksheet is for educational purposes only.