🔢 Part 1: Understanding Division as Fractions

1. Complete these division problems and write your answer as a fraction:

a) 5 ÷ 2 = _______

b) 7 ÷ 3 = _______

c) 9 ÷ 4 = _______

d) 11 ÷ 5 = _______

2. Circle the correct fraction that represents 8 ÷ 3:

2⅓

2¾

3⅛

2½

3. Show your working for 10 ÷ 4:

📊 Part 2: Visual Representations

4. Draw a diagram to show 6 ÷ 4. Show how 6 wholes can be divided into 4 equal parts:

5. Mark the position of 7 ÷ 2 on this number line:

Draw an arrow pointing to where 7 ÷ 2 would be located:

0 _____|_____|_____|_____|_____ 5

6. Which of these diagrams correctly shows 5 ÷ 3? Check all that apply:

5 circles divided into 3 equal parts each

3 circles with 5 equal parts each

5 wholes shared equally among 3 groups

3 wholes shared equally among 5 groups

🔄 Part 3: Multiplication and Division by Fractions

7. Complete these problems using the reciprocal method:

a) 6 ÷ ½ = 6 × _____ = _____

b) 8 ÷ ¼ = 8 × _____ = _____

c) 12 ÷ ⅓ = 12 × _____ = _____

8. Circle the correct answer for 15 ÷ ⅕:

3

75

15

5

9. Show your working to solve 20 ÷ ⅔:

📝 Part 4: Word Problems

10. Sarah has 9 chocolates to share equally among 4 friends. How many chocolates does each friend get? Write your answer as a mixed number.

11. A piece of ribbon is 3 metres long. If it's cut into pieces that are each ½ metre long, how many pieces will there be?

12. Fill in the blanks:

When we divide 7 by 2, we get _______ as a mixed number, which means _______ whole parts and _______ of another part.

13. A pizza is cut into 8 equal slices. If 5 slices are eaten, what fraction of the pizza remains?

🎯 Part 5: Challenge Questions

14. Match each division problem with its equivalent fraction:

1. 13 ÷ 4

2. 17 ÷ 5

3. 19 ÷ 6

4. 23 ÷ 8

A. 3⅖

B. 2⅞

C. 3¼

D. 3⅙

15. Explain in your own words why dividing by ½ gives you a larger answer than the number you started with:

16. Create your own word problem that involves division resulting in a fraction, then solve it:

Division Creates Fractions

Division Creates Fractions

🔢 Part 1: Understanding Division as Fractions

📊 Part 2: Visual Representations

🔄 Part 3: Multiplication and Division by Fractions

📝 Part 4: Word Problems

🎯 Part 5: Challenge Questions

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