Simplifying Fractions Worksheet

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📚 Part 1: Finding the Highest Common Factor (HCF)

1. Find the HCF of each pair of numbers by listing factors:

a) 12 and 18: Factors of 12: _________________ Factors of 18: _________________ HCF = ____

b) 15 and 25: Factors of 15: _________________ Factors of 25: _________________ HCF = ____

c) 20 and 30: Factors of 20: _________________ Factors of 30: _________________ HCF = ____

2. Use prime factorisation to find the HCF:

24 and 36: HCF = ____

✏️ Part 2: Simplifying Fractions

3. Simplify these fractions by dividing both numerator and denominator by their HCF:

a) 12/18 = ____/____

b) 15/25 = ____/____

c) 20/30 = ____/____

d) 24/36 = ____/____

4. Circle the fractions that are already in their simplest form:

3/7

6/9

5/11

8/12

7/13

5. Convert these improper fractions to mixed numbers in simplest form:

a) 9/4 = ____________________

b) 11/3 = ____________________

c) 15/6 = ____________________

🎯 Part 3: Problem Solving

6. Sarah has 16 slices of pizza and wants to share them equally among 24 friends. What fraction of the total pizza does each friend get? Write your answer in simplest form.

7. Explain in your own words why 6/8 and 3/4 are equivalent fractions:

8. Challenge: Which fraction is larger: 12/16 or 9/12? Show your working by simplifying both fractions first.

Simplifying Fractions Worksheet

Simplifying Fractions Worksheet

📚 Part 1: Finding the Highest Common Factor (HCF)

✏️ Part 2: Simplifying Fractions

🎯 Part 3: Problem Solving

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