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Simplifying Fractions Using HCF

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Simplifying Fractions Using HCF

Fractions and mathematical symbols

🎯 WALT (We Are Learning To)

Simplify fractions by finding equivalent fractions using highest common factors (HCF).

Success Criteria

✓ I can find the HCF of two numbers
✓ I can use the HCF to simplify fractions to their simplest form
✓ I can explain why a fraction is simplified

📚 Part 1: Finding the HCF

1. Find the HCF of 12 and 16 by listing the factors:

Factors of 12: ________________________________

Factors of 16: ________________________________

HCF = ______

2. Find the HCF of 18 and 24:
3. Which pair has an HCF of 5?

10 and 15

8 and 12

6 and 9

20 and 25

✏️ Part 2: Simplifying Fractions

4. Simplify 12/16 using the HCF:

HCF of 12 and 16 = ______

12 ÷ ______ = ______

16 ÷ ______ = ______

So 12/16 = ____/____

5. Simplify these fractions to their simplest form:

a) 18/24 = ____/____

b) 15/20 = ____/____

c) 9/12 = ____/____

d) 24/30 = ____/____

6. Which fractions are already in their simplest form? Tick all that apply:

3/7

4/8

5/9

6/10

7. Explain why 3/4 is the simplest form of 12/16:
8. Extension: Simplify 35/42 and show your working:

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