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Division Remainders: Fractions Decimals

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Division Remainders: Fractions Decimals worksheet preview

Division Remainders: Fractions Decimals

Division with remainders illustration

📚 WALT: Express remainders as fractions or decimals

Success Criteria: I can solve division problems with remainders and choose whether to express them as fractions or decimals based on the context.

1. A marae kitchen has 47 kg of kumara to share equally among 6 whānau groups. How much kumara does each group receive?

Answer as a fraction: _________ kg

Answer as a decimal: _________ kg

Which form is more practical for this situation? Circle one: Fraction / Decimal

2. Year 9 students need to split the cost of a school trip to Rotorua. The total cost is $385 for 8 students. How much does each student pay?

Answer as a fraction: $_________

Answer as a decimal: $_________

Which form is more practical for money? Circle one: Fraction / Decimal

3. A teacher has 29 pencils to distribute equally among 4 groups. How many pencils does each group get?

Answer as a mixed number: _________ pencils

Answer as a decimal: _________ pencils

Explain why a mixed number might be better than a decimal for this problem:

✏️ Choose Your Method

4. For each division problem, solve it and decide whether a fraction or decimal answer makes more sense. Complete the sentence starter.

a) 19 ÷ 3 = _________

I chose to express this as a _________ because _________________________________

b) 50 ÷ 8 = _________

I chose to express this as a _________ because _________________________________

5. A netball coach wants to divide 34 players into equal teams of 5.

Number of complete teams: _________

Players remaining: _________

Express as a mixed number: _________ teams

What would the coach do with the remaining players in real life?

6. Convert these remainders to both forms:

a) 17 ÷ 4 = _____ remainder _____

As a fraction: _________ As a decimal: _________

b) 23 ÷ 6 = _____ remainder _____

As a fraction: _________ As a decimal: _________

🌟 Extension Challenge

7. Advanced Problem: A community garden has 156 seedlings to plant in rectangular plots. Each plot holds 12 seedlings.

Complete plots needed: _________

Remaining seedlings as a fraction of a plot: _________

Remaining seedlings as a percentage of a plot: _________%

If seedlings cost $2.50 each, what's the value of the remaining seedlings? $_________

8. Reflection: When is it better to use fractions instead of decimals for remainders? Give two examples.
9. Create Your Own: Write a word problem involving division with remainders that relates to New Zealand culture or activities.

Solve your problem: _________________________________

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