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Converting Improper Fractions

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Converting Improper Fractions

Converting Improper Fractions

Fraction conversion illustration

📚 Part 1: Vocabulary Review

1. Match each term with its correct definition:
1. Numerator
2. Denominator
3. Improper Fraction
4. Mixed Number
A. A whole number and a fraction combined
B. The bottom number in a fraction
C. A fraction where the numerator is larger than the denominator
D. The top number in a fraction
2. Circle the improper fractions:

7/4

3/8

11/5

2/9

15/7

🔄 Part 2: Converting Improper Fractions to Mixed Numbers

Remember: Divide the numerator by the denominator. The quotient becomes the whole number, and the remainder over the original denominator becomes the fraction part.

3. Convert these improper fractions to mixed numbers. Show your working:

a) 9/4 = ___________

b) 13/5 = ___________

c) 17/6 = ___________

d) 23/8 = ___________

4. Choose the correct mixed number for 19/7:

2 5/7

2 6/7

3 2/7

2 4/7

🔄 Part 3: Converting Mixed Numbers to Improper Fractions

Remember: Multiply the whole number by the denominator, then add the numerator. This becomes your new numerator over the original denominator.

5. Convert these mixed numbers to improper fractions. Show your working:

a) 3 2/5 = ___________

b) 4 1/3 = ___________

c) 2 5/8 = ___________

d) 5 3/7 = ___________

6. Which improper fraction is equivalent to 3 4/9?

31/9

27/9

21/9

25/9

🎨 Part 4: Visual Representation

7. Draw a visual representation (using circles, rectangles, or number line) to show that 7/3 = 2 1/3:
8. Use the number line below to mark and label both 11/4 and its mixed number equivalent:

🧠 Part 5: Problem Solving

9. Sarah has 23/6 metres of ribbon. How many whole metres does she have, and what fraction of a metre is left over?
10. A recipe calls for 2 3/4 cups of flour. Express this as an improper fraction and explain why this might be useful when doubling the recipe:
11. Fill in the missing conversions:

a) _______ = 3 1/2

b) 29/8 = _______

c) _______ = 4 2/3

d) 47/10 = _______

✅ Part 6: Self-Assessment

12. Rate your understanding by ticking the appropriate box:

I can confidently convert between improper fractions and mixed numbers

I understand the process but need more practice

I need help with this topic

13. Explain in your own words how to convert an improper fraction to a mixed number:

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