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Division with Mixed Numbers

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Division with Mixed Numbers

Division with Mixed Numbers

Mixed numbers and division illustration

🔢 Part 1: Converting Improper Fractions to Mixed Numbers

1. Convert these improper fractions to mixed numbers. Show your working.

a) 11/4 = ___________

b) 17/5 = ___________

c) 23/7 = ___________

2. Circle the correct mixed number for 19/6:

3 1/6

2 7/6

3 1/3

2 1/3

➗ Part 2: Division Problems with Mixed Number Answers

3. Solve these division problems. Write your answers as mixed numbers.

a) 29 ÷ 4 = ___________

b) 35 ÷ 6 = ___________

c) 47 ÷ 8 = ___________

d) 53 ÷ 7 = ___________

4. Which of these division problems will result in a mixed number? Check all that apply:

24 ÷ 6

25 ÷ 4

36 ÷ 9

31 ÷ 5

42 ÷ 7

🍰 Part 3: Real-Life Word Problems

5. Sarah has 43 cupcakes to pack into boxes. Each box holds 6 cupcakes. How many full boxes will she have and how many cupcakes will be left over? Write your answer as a mixed number.

Answer: __________ boxes

6. A school has 127 students going on a trip. Each bus can carry 15 students. How many buses are needed? Express this as a mixed number first, then explain what this means in real life.

Mixed number answer: __________

7. Tom has $85 to share equally among his 12 cousins for Christmas. How much money will each cousin receive? Write your answer as a mixed number of dollars.

Each cousin receives: $__________

🎯 Part 4: Problem Solving and Reasoning

8. Fill in the missing numbers:

a) _____ ÷ 5 = 3 2/5

b) 26 ÷ _____ = 4 1/3

c) _____ ÷ 7 = 5 4/7

9. Match each division problem with its mixed number answer:
1. 22 ÷ 3
2. 38 ÷ 5
3. 41 ÷ 6
4. 33 ÷ 4
A. 8 1/4
B. 6 5/6
C. 7 1/3
D. 7 3/5
10. Create your own word problem that involves division and results in a mixed number answer. Then solve it.

My word problem:

Solution:

Answer: __________

💭 Part 5: Reflection

11. Explain in your own words how to convert an improper fraction to a mixed number:
12. What strategy do you find most helpful when solving division problems that result in mixed numbers?
13. Circle how confident you feel about division with mixed numbers:

Very confident - I can teach others!

Confident - I understand most problems

Getting there - I need a bit more practice

Need help - I'd like more support

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