Date: May 14, 2023

# Multiplying Fractions Worksheet Test

Instructions: Solve each problem. Show all your work. Simplify the answer when possible.

1. Multiply the following fractions:

a) 2/5 x 4/7

b) 1/2 x 3/4

c) 5/6 x 3/4

d) 7/8 x 2/3

e) 3/5 x 1/4 x 2/3

2. Simplify the following products of fractions:

a) (4/5)(15/16)

b) (3/4)(16/21)

c) (5/6)(6/7)

d) (2/3)(3/4)(4/5)

e) (1/2)(2/3)(3/4)(4/5)

3. Find the product of the following mixed numbers:

a) 3 1/4 x 2 2/3

b) 2 1/2 x 3 3/5

c) 4 2/3 x 5 1/4

d) 1 3/4 x 2 1/2 x 1 1/3

e) 3 1/2 x 1/2 x 2 1/4

4. Solve the following word problems:

a) John drank 1/3 of a gallon of orange juice. His sister drank 2/5 of the remaining juice. How much juice is left in the gallon?

b) A recipe calls for 1/2 cup of sugar for every 3/4 cup of flour. How much sugar is needed for 2 cups of flour?

c) A rectangular garden is 3 1/2 feet wide and 5 1/4 feet long. The owner wants to increase the length by 2/3. What will be the new area of the garden?

d) A tank is 3/4 full of water. If 1/3 of the water is removed, what fraction of the tank will be left with water?

e) A pizza recipe calls for 2 1/2 cups of flour to make 4 pizzas. How much flour is needed to make 10 pizzas?

5. Solve the following problems involving mixed numbers:

a) 5 1/3 x 2 2/5

b) 3 2/3 x 1 3/4

c) 2 1/2 x 5 1/3

d) 1 2/3 x 3 1/2 x 2 1/4

e) 4 1/2 x 3/4 x 6 1/3

6. Multiply the following fractions and mixed numbers:

a) 2/3 x 3 1/2

b) 1/2 x 2 2/3

c) 4/5 x 1 1/2

d) 7/8 x 5/6 x 2 1/4

e) 3/4 x 1/3 x 2 1/2 x 4/5

7. Simplify the following products of mixed numbers:

a) (2 1/2)(3 3/4)

b) (1 1/4)(2 2/3)

c) (3 1/2)(4/7)

d) (2 1/4)(3/4)(5/6)

e) (3 2/5)(1/2)(4 1/3)

8. Solve the following word problems:

a) A recipe calls for 3/4 cup of sugar for every 2/3 cup of flour. How much sugar is needed for 3 cups of flour?

b) A rectangular room is 12 1/2 feet long and 8 2/3 feet wide. What is the area of the room?

c) A water tank is 2/5 full. If 3/4 of the remaining water is added, what fraction of the tank will be filled with water?

d) A recipe calls for 1 1/2 cups of flour to make 2 pizzas. How much flour is needed to make 5 pizzas?

e) John ran 3 1/2 miles in 2/3 of an hour. What was his average speed in miles per hour?

9. Solve the following problems involving mixed numbers:

a) 3 1/2 x 2/3

b) 2 1/3 x 1 1/2

c) 4 1/2 x 3 2/3

d) 2 3/5 x 1 1/4 x 3 1/3

e) 1 2/3 x 3/4 x 4 1/4

10. Multiply the following fractions and mixed numbers:

a) 1/2 x 3 1/4

b) 2/3 x 2 2/3

c) 3/4 x 4 1/2

d) 1/3 x 2/5 x 1 1/2

e) 2/3 x 3/4 x 4 1/2 x 1/2

End of Worksheet Test