Comprehensive worksheet for simplifying ratios, featuring four sections with increasing difficulty levels to help students master the skill.

Let’s go section by section and simplify each ratio by dividing both parts by the given Greatest Common Factor (GCF).

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Section A: Divide by 2

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

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Section B: Divide by 5

1. 5 : 10 → 5÷5 = 1, 10÷5 = 2 → 1 : 2
2. 15 : 10 → 15÷5 = 3, 10÷5 = 2 → 3 : 2
3. 25 : 5 → 25÷5 = 5, 5÷5 = 1 → 5 : 1
4. 10 : 35 → 10÷5 = 2, 35÷5 = 7 → 2 : 7
5. 45 : 5 → 45÷5 = 9, 5÷5 = 1 → 9 : 1
6. 55 : 25 → 55÷5 = 11, 25÷5 = 5 → 11 : 5

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Section C: Divide by 3

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

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Section D: Mixed GCFs

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