Practice: Dividing Fractions

Grade 5 Mathematics | Independent Practice

Name:
Date:

Part A: Unit Fraction / Whole Number

Directions: Divide. Remember: When you divide a fraction by a whole number, the answer gets SMALLER. Use the rule: 1/a / b = 1/(a x b)

1.

12 / 3 =

2.

14 / 2 =

3.

13 / 5 =

4.

16 / 2 =

Part B: Whole Number / Unit Fraction

Directions: Divide. Remember: When you divide a whole number by a unit fraction, the answer gets BIGGER. Use the rule: a / 1/b = a x b

5.

2 / 14 =

6.

5 / 13 =

7.

3 / 15 =

8.

6 / 12 =

Part C: Use the Visual Model

Directions: Use the model to solve. Write the division equation and answer.

9. The model shows 1/3. If you divide it equally among 2 people, how much does each person get?

1/3 is shaded

Equation: _____________ / _____________ = _____________

10. The model shows 2 whole bars. How many 1/4 pieces are there in total?

1
2
3
4
5
6
7
8

Equation: _____________ / _____________ = _____________

Part D: Word Problems

Directions: Write an equation and solve. Show your work.

11. Maria has 1/2 of a pan of brownies. She wants to share it equally among 4 friends. What fraction of the whole pan does each friend get?

Equation: _________________ Answer: _________________

12. A chef has 4 pounds of cheese. Each pizza needs 1/3 pound of cheese. How many pizzas can the chef make?

Equation: _________________ Answer: _________________

13. A rope is 1/4 yard long. It is cut into 3 equal pieces. How long is each piece?

Equation: _________________ Answer: _________________

14. Jake has 5 cups of flour. A muffin recipe uses 1/4 cup of flour per muffin. How many muffins can Jake make?

Equation: _________________ Answer: _________________

Challenge: Think About It!

15. Without calculating, which is greater: 6 / 1/2 or 1/2 / 6? Explain how you know.

16. Complete the pattern:

1 / 1/2 = _____    2 / 1/2 = _____    3 / 1/2 = _____    4 / 1/2 = _____

What pattern do you notice? ________________________________