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Fraction Conversion Mastery

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Fraction Conversion Mastery

Fraction Conversion Mastery

Fraction conversion illustration

🔄 Part 1: Converting Mixed Numbers to Improper Fractions

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

a) 2 3/4 = ___________

b) 1 2/5 = ___________

c) 3 1/3 = ___________

d) 4 2/7 = ___________

🔄 Part 2: Converting Improper Fractions to Mixed Numbers

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

a) 11/4 = ___________

b) 17/5 = ___________

c) 23/6 = ___________

d) 19/8 = ___________

📏 Part 3: Real-Life Measurement Problems

3. Sarah is building a birdhouse. She needs three pieces of wood with these lengths:

• Piece 1: 2 1/4 metres

• Piece 2: 1 3/4 metres

• Piece 3: 3 1/2 metres

a) Convert each length to an improper fraction:

Piece 1: ___________

Piece 2: ___________

Piece 3: ___________

4. Tom measured fabric for a school project. His measuring tape showed 13/4 metres. Convert this to a mixed number to help him understand the measurement better.

13/4 = ___________

5. A recipe calls for 2 2/3 cups of flour. Convert this to an improper fraction.

2 2/3 = ___________

🎯 Part 4: Multiple Choice Challenge

6. Which improper fraction is equivalent to 3 1/5?

15/5

16/5

14/5

13/5

7. Which mixed number is equivalent to 22/7?

3 1/7

3 2/7

2 8/7

4 1/7

8. Check all the fractions that are equivalent to 2 3/8:

19/8

23/8

2.375

17/8

🧠 Part 5: Problem Solving

9. Jake is measuring rope for a climbing wall. He has three pieces:

• 15/4 metres

• 2 1/2 metres

• 11/3 metres

a) Convert all measurements to mixed numbers:

15/4 = ___________

2 1/2 = ___________ (already a mixed number)

11/3 = ___________

b) Which piece is the longest? ___________

10. Explain in your own words when it might be more helpful to use improper fractions instead of mixed numbers in real life:

✨ Part 6: Reflection

11. Fill in the blanks with the correct conversion steps:

To convert a mixed number to an improper fraction:

Step 1: __________ the whole number by the __________

Step 2: __________ the numerator to this result

Step 3: Keep the same __________

12. Match the conversion method with its description:
1. Mixed to Improper
2. Improper to Mixed
3. Check your answer
A. Divide numerator by denominator
B. Multiply whole by denominator, add numerator
C. Convert back using the opposite method
13. Rate your confidence with fraction conversions:

Very confident - I can do these easily!

Quite confident - I understand most of it

Getting there - I need a bit more practice

Need help - I find these challenging

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