Practice: Multiplying Fractions

Grade 5 Mathematics | Independent Practice

Name:
Date:

Part A: Multiply Two Fractions

Directions: Multiply. Simplify your answer if possible. Remember: multiply numerators, multiply denominators!

1. 12 x 14 =

2. 23 x 34 =

3. 35 x 12 =

4. 45 x 23 =

Part B: Multiply Fractions by Whole Numbers

Directions: Multiply. Write whole numbers as fractions over 1. Simplify if possible.

5. 3 x 25 =

6. 34 x 8 =

7. 6 x 56 =

8. 23 x 12 =

Part C: Use the Area Model

Directions: Shade the area model to show the multiplication, then find the product.

9. 12 x 23 =

Shade 2/3 of the columns, then 1/2 of the rows. Count the overlap.

10. 34 x 12 =

Shade 3/4 of the columns, then 1/2 of the rows. Count the overlap.

Part D: Word Problems

Directions: Read each problem. Write an equation and solve.

11. A garden is 2/3 of a yard wide and 3/4 of a yard long. What is the area of the garden in square yards?

Equation: ______ x ______ = ______

Answer: The area is ______ square yards.

12. Sam has 3/4 of a pizza. He gives 1/2 of what he has to his friend. What fraction of the original pizza did he give away?

Equation: ______ x ______ = ______

Answer: Sam gave away ______ of the pizza.

13. A recipe calls for 2/3 cup of oil. If Emma wants to make 4 batches, how much oil does she need in total?

Equation: ______ x ______ = ______

Answer: Emma needs ______ cups of oil.

14. A running track is 5/8 of a mile long. Lily ran 6 laps. How many miles did Lily run?

Equation: ______ x ______ = ______

Answer: Lily ran ______ miles.

Challenge: Think About It!

15. Without calculating, will 56 x 78 be greater than, less than, or equal to 5/6? Explain your reasoning.

16. If 1/4 x 1/4 = 1/16, what is 3/4 x 3/4? Explain your strategy.

Answer: ____________