A great variety of fraction word problems with solutions. These word problems will help you find out when you need to add, subtract, multiply or divide fractions.

**1.** Sarah knows 8 of the 25 students in her class. Write a fraction showing the number of students Sarah knows.

**Solution**

8/25

**2.** Peter correctly solved 18 out of the 20 math problems the teacher gave him. Write a fraction showing the number of math problems Peter solved correctly.

**Solution**

18/20

**3.** Darlene ate 3/5 of her pizza. How much pizza can Darlene share with her sister?

**Solution**

1 represents the entire pizza. To find how much pizza is left, just do 1 - 3/5

1 - 3/5 = 1/1 - 3/5 = 5/5 - 3/5 = 2/5

Darlene can share 2/5 of the pizza.

**4.** Last week, Steve spent 3 1/2 hours playing soccer and 4 1/2 hours playing table tennis. How much time did Steve spend playing both sports?

**Solution**

Just add 3 1/2 and 4 1/2 together.

3 1/2 + 4 1/2 = (3 + 4) + 1/2 + 1/2 = 7 + 1 = 8

Steve spent 8 hours playing both sports.

**5.** John jogged 1 3/4 miles yesterday and 2 1/2 miles today. How many miles did John spend jogging for the past two days?

**Solution**

Just add 1 3/4 and 2 1/2 together.

1 + 2 = 3

3/4 + 1/2 = 3/4 + 2/4 = 5/4

John jogged 3 5/4 miles for the past two days.

**6.** Maria bought a pizza and ate half of it. Then, she gave the leftover to his brother and his brother ate half of it. How much of the pizza did his brother eat?

**Solution**

The brother ate half of half the pizza.

Half of half = 1/2 of 1/2 = 1/2 × 1/2 = 1/4

**7.** Anthony caught some fish that weighted 6 1/2 pounds. If he gave 4 1/4 pounds of fish to some friends, how much fish does he have for himself?

**Solution**

Subtract 4 1/4 from 6 1/2.

6 - 4 = 2

1/2 - 1/4 = 2/4 - 1/4 = 1/4

Anthony has 2 1/4 pounds of fish for himself.

**8.** 1/4 of a tablespoon of baking soda is needed to make a loaf of bread. How many loaves of bread can be made with 5 tablespoons of baking soda?

**Solution**

Divide 5 by 1/4

5 ÷ 1/4 = 5/1 ÷ 1/4 = 5/1 × 4/1 = 20/1 = 20

20 loaves of bread can be made.

**9.** A recipe calls for 2 1/8 cups of butter for a casserole. How much butter is needed to make 6 1/2 casseroles?

**Solution**

Just multiply 2 1/8 by 6 1/2

2 1/8 × 6 1/2 = (2 × 8 + 1)/8 × (6 × 2 + 1)/2

2 1/8 × 6 1/2 = 17/8 × 13/2 = (17 × 13)/(8 × 2)

2 1/8 × 6 1/2 = 221/16 = 13.8125

To make 6 1/2 casseroles, the recipe will need 13.8125 cups of butter.

**10.** Kevin cooked 8 1/4 pounds of meat for a dinner. If each serving is 3/4 pound, how many servings did he prepare?

**Solution**

Just divide 8 1/4 by 3/4

8 1/4 ÷ 3/4 = (8 × 4 + 1)/4 ÷ 3/4 = 33/4 ÷ 3/4 = 33/4 × 4/3 = 132/12 = 11

Kevin prepared 11 servings.