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Division with Remainders

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Division with Remainders

Division with Remainders

Division with remainders illustration

🔢 Part 1: Basic Division with Remainders

1. Solve these division problems and write your answer with a remainder:

a) 83 ÷ 5 = _______ remainder _______

b) 199 ÷ 7 = _______ remainder _______

c) 156 ÷ 8 = _______ remainder _______

d) 247 ÷ 6 = _______ remainder _______

📊 Part 2: Converting Remainders to Fractions

2. Convert these remainders to fractions (remainder ÷ divisor):

a) 47 ÷ 3 = 15 remainder 2

As a mixed number: 15 _____

b) 89 ÷ 4 = 22 remainder 1

As a mixed number: 22 _____

c) 125 ÷ 7 = 17 remainder 6

As a mixed number: 17 _____

3. Circle the correct fraction for the remainder:

73 ÷ 5 = 14 remainder 3

14 3/5

14 5/3

14 3/14

3/73

🔢 Part 3: Converting Remainders to Decimals

4. Convert these remainders to decimals (round to 2 decimal places):

a) 67 ÷ 4 = 16 remainder 3

As a decimal: 16.____

b) 85 ÷ 6 = 14 remainder 1

As a decimal: 14.____

c) 139 ÷ 8 = 17 remainder 3

As a decimal: 17.____

🍭 Part 4: Real-Life Word Problems

5. Sarah has 83 lollies to share equally among 5 children.

a) How many lollies does each child get? _______

b) How many lollies are left over? _______

c) Express the leftover as a fraction: _______

6. A school has 247 students to organise into groups of 6 for a sports day.

a) How many complete groups can be formed? _______

b) How many students will be left without a complete group? _______

c) What fraction of a group do the leftover students represent? _______

7. A baker has 156 biscuits to pack into boxes of 8.

a) How many full boxes can be packed? _______

b) Express the total as a mixed number: _______

c) Express the total as a decimal: _______

🤔 Part 5: Understanding and Application

8. Which of these situations would require you to consider remainders? Check all that apply:

Sharing pizza slices equally among friends

Calculating how many buses are needed for a school trip

Dividing money equally

Measuring fabric for curtains

Organising students into equal teams

9. Match each division problem with its correct remainder expression:
1. 95 ÷ 4
2. 127 ÷ 5
3. 89 ÷ 3
A. 29 2/3
B. 23 3/4
C. 25 2/5
10. Explain in your own words why remainders are important in real life:

🌟 Part 6: Challenge Extension

11. Challenge: A factory produces 1,247 toys and needs to pack them into boxes of 15.

a) How many complete boxes will be filled? _______

b) Express the answer as a mixed number: _______

c) Express the answer as a decimal (to 3 decimal places): _______

d) If the factory wants to fill complete boxes only, how many toys will be left unpacked? _______

12. Reflection: Describe a situation from your own life where you might encounter division with remainders:

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