Students can practice reducing ratios to their simplest form by dividing by the highest common factor in this structured worksheet.

Let’s go section by section and simplify each ratio using the given Highest Common Factor (HCF). Remember: to simplify a ratio, divide both numbers by the HCF.

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Section A: Divide by 2

- 2 : 4 → 2÷2 = 1, 4÷2 = 2 → 1 : 2
- 8 : 10 → 8÷2 = 4, 10÷2 = 5 → 4 : 5
- 6 : 2 → 6÷2 = 3, 2÷2 = 1 → 3 : 1
- 12 : 2 → 12÷2 = 6, 2÷2 = 1 → 6 : 1
- 14 : 10 → 14÷2 = 7, 10÷2 = 5 → 7 : 5
- 18 : 2 → 18÷2 = 9, 2÷2 = 1 → 9 : 1

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Section B: Divide by 5

- 5 : 10 → 5÷5 = 1, 10÷5 = 2 → 1 : 2
- 15 : 10 → 15÷5 = 3, 10÷5 = 2 → 3 : 2
- 25 : 5 → 25÷5 = 5, 5÷5 = 1 → 5 : 1
- 10 : 35 → 10÷5 = 2, 35÷5 = 7 → 2 : 7
- 45 : 5 → 45÷5 = 9, 5÷5 = 1 → 9 : 1
- 55 : 25 → 55÷5 = 11, 25÷5 = 5 → 11 : 5

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Section C: Divide by 3

- 6 : 3 → 6÷3 = 2, 3÷3 = 1 → 2 : 1
- 3 : 9 → 3÷3 = 1, 9÷3 = 3 → 1 : 3
- 9 : 12 → 9÷3 = 3, 12÷3 = 4 → 3 : 4
- 12 : 15 → 12÷3 = 4, 15÷3 = 5 → 4 : 5
- 30 : 3 → 30÷3 = 10, 3÷3 = 1 → 10 : 1
- 18 : 33 → 18÷3 = 6, 33÷3 = 11 → 6 : 11

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Section D: Mixed divisors

- 12 : 2 ÷2 → 12÷2=6, 2÷2=1 → 6 : 1
- 6 : 15 ÷3 → 6÷3=2, 15÷3=5 → 2 : 5
- 10 : 15 ÷5 → 10÷5=2, 15÷5=3 → 2 : 3
- 30 : 40 ÷10 → 30÷10=3, 40÷10=4 → 3 : 4
- 12 : 16 ÷4 → 12÷4=3, 16÷4=4 → 3 : 4
- 24 : 2 ÷2 → 24÷2=12, 2÷2=1 → 12 : 1

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Final Answer:

Section A:
1 : 2
4 : 5
3 : 1
6 : 1
7 : 5
9 : 1

Section B:
1 : 2
3 : 2
5 : 1
2 : 7
9 : 1
11 : 5

Section C:
2 : 1
1 : 3
3 : 4
4 : 5
10 : 1
6 : 11

Section D:
6 : 1
2 : 5
2 : 3
3 : 4
3 : 4
12 : 1