Division Remainders as Fractions

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🎯 WALT: We Are Learning To...

Express remainders as fractions in division problems

Remember: When we have a remainder, we can write it as a fraction!

Remainder ÷ Divisor = Fraction

Example: 17 ÷ 3 = 5 remainder 2 = 5²⁄₃

📚 Part 1: Converting Remainders to Fractions

1. 13 ÷ 4 = 3 remainder 1. Write this as a mixed number:

Answer: 3 ________

2. 19 ÷ 6 = 3 remainder 1. Express as a mixed number:

Answer: ________

3. 25 ÷ 7 = ________ remainder ________

As a mixed number: ________

4. Complete the division and express as a mixed number:

22 ÷ 5 = ________

5. 31 ÷ 8 = ________ remainder ________

Mixed number: ________

🌟 Part 2: Real-World Problems

6. At a marae, 23 people need to sit at tables that seat 6 people each. How many full tables are needed, and what fraction of an extra table is required?

Answer: ________ full tables and ________ of another table

7. A school trip costs $47 to be split equally among 8 students. How much does each student pay? Express your answer as a mixed number of dollars.

Each student pays: $ ________

8. Choose the best way to express the remainder. Circle your choice and explain why:

29 chocolates shared among 4 children:

7.25 chocolates each

7¹⁄₄ chocolates each

7 chocolates each with 1 left over

Explain your choice:

🚀 Extension Challenge

9. A rectangular garden is 37 metres long and needs to be divided into equal sections of 5 metres each for planting. How many complete sections can be made, and what fraction of a section is left over?

10. Reflection: When might it be better to express a remainder as a fraction rather than just stating "remainder 2"? Give an example from real life.