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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Fraction circles and bars illustration

📚 Part 1: Finding Common Factors

1. List all the factors of these numbers:

a) Factors of 12: ________________

b) Factors of 18: ________________

c) Common factors of 12 and 18: ________________

d) Greatest common factor (GCF): ________________

2. Circle the greatest common factor for each pair:

a) 15 and 25:     1     3     5     15

b) 20 and 30:     2     5     10     15

c) 24 and 32:     4     6     8     12

3. Which of these fractions are already in their simplest form?

3/7

4/8

5/9

6/12

✏️ Part 2: Simplifying Fractions

4. Simplify these fractions by finding the GCF and dividing:

a) 8/12 = _____ ÷ _____ = _____

b) 15/25 = _____ ÷ _____ = _____

c) 18/24 = _____ ÷ _____ = _____

d) 20/30 = _____ ÷ _____ = _____

5. Some fractions need more than one step to simplify. Complete these:

a) 12/20 = _____ ÷ 2 = _____ ÷ 2 = _____

b) 16/24 = _____ ÷ 4 = _____ ÷ 2 = _____

6. Match each fraction to its simplest form by drawing lines:
10/15
14/21
9/27
16/20
2/3
1/3
4/5
2/3

🧠 Part 3: Reasoning and Problem Solving

7. Sarah says "6/9 cannot be simplified because 6 and 9 are both odd numbers." Is she correct? Explain your answer:
8. Tom simplified 24/36 and got 6/9. His teacher said he needed to continue. What should Tom do next and why?
9. Challenge: Find a fraction with denominator 48 that simplifies to 3/8:

Answer: _____ / 48

Show your working: _________________________________

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