Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve the problem of simplifying ratios step by step.

We are given a list of ratios and need to write each in its simplest form. To simplify a ratio, we divide both numbers by their greatest common divisor (GCD).

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🔧 Steps to Simplify a Ratio:

1. Find the GCD of the two numbers.
2. Divide both numbers by the GCD.
3. Write the simplified ratio.

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Now let's go through each ratio:

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#### 1. 3 : 12
- GCD of 3 and 12 = 3
- 3 ÷ 3 = 1, 12 ÷ 3 = 4
- ✔ 1 : 4

#### 2. 4 : 6
- GCD of 4 and 6 = 2
- 4 ÷ 2 = 2, 6 ÷ 2 = 3
- ✔ 2 : 3

#### 3. 4 : 24
- GCD of 4 and 24 = 4
- 4 ÷ 4 = 1, 24 ÷ 4 = 6
- ✔ 1 : 6

#### 4. 4 : 30
- GCD of 4 and 30 = 2
- 4 ÷ 2 = 2, 30 ÷ 2 = 15
- ✔ 2 : 15

#### 5. 6 : 45
- GCD of 6 and 45 = 3
- 6 ÷ 3 = 2, 45 ÷ 3 = 15
- ✔ 2 : 15

#### 6. 24 : 72
- GCD of 24 and 72 = 24
- 24 ÷ 24 = 1, 72 ÷ 24 = 3
- ✔ 1 : 3

#### 7. 22 : 88
- GCD of 22 and 88 = 22
- 22 ÷ 22 = 1, 88 ÷ 22 = 4
- ✔ 1 : 4

#### 8. 9 : 54
- GCD of 9 and 54 = 9
- 9 ÷ 9 = 1, 54 ÷ 9 = 6
- ✔ 1 : 6

#### 9. 30 : 75
- GCD of 30 and 75 = 15
- 30 ÷ 15 = 2, 75 ÷ 15 = 5
- ✔ 2 : 5

#### 10. 20 : 48
- GCD of 20 and 48 = 4
- 20 ÷ 4 = 5, 48 ÷ 4 = 12
- ✔ 5 : 12

#### 11. 8 : 36
- GCD of 8 and 36 = 4
- 8 ÷ 4 = 2, 36 ÷ 4 = 9
- ✔ 2 : 9

#### 12. 35 : 50
- GCD of 35 and 50 = 5
- 35 ÷ 5 = 7, 50 ÷ 5 = 10
- ✔ 7 : 10

#### 13. 24 : 240
- GCD of 24 and 240 = 24
- 24 ÷ 24 = 1, 240 ÷ 24 = 10
- ✔ 1 : 10

#### 14. 21 : 30
- GCD of 21 and 30 = 3
- 21 ÷ 3 = 7, 30 ÷ 3 = 10
- ✔ 7 : 10

#### 15. 30 : 36
- GCD of 30 and 36 = 6
- 30 ÷ 6 = 5, 36 ÷ 6 = 6
- ✔ 5 : 6

#### 16. 48 : 72
- GCD of 48 and 72 = 24
- 48 ÷ 24 = 2, 72 ÷ 24 = 3
- ✔ 2 : 3

#### 17. 225 : 250
- GCD of 225 and 250 = 25
- 225 ÷ 25 = 9, 250 ÷ 25 = 10
- ✔ 9 : 10

#### 18. 5 : 180
- GCD of 5 and 180 = 5
- 5 ÷ 5 = 1, 180 ÷ 5 = 36
- ✔ 1 : 36

#### 19. 80 : 400
- GCD of 80 and 400 = 80
- 80 ÷ 80 = 1, 400 ÷ 80 = 5
- ✔ 1 : 5

#### 20. 40 : 45
- GCD of 40 and 45 = 5
- 40 ÷ 5 = 8, 45 ÷ 5 = 9
- ✔ 8 : 9

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✔ Final Answer Table:

| Original Ratio | Simplified Ratio |
|----------------|------------------|
| 3 : 12 | 1 : 4 |
| 4 : 6 | 2 : 3 |
| 4 : 24 | 1 : 6 |
| 4 : 30 | 2 : 15 |
| 6 : 45 | 2 : 15 |
| 24 : 72 | 1 : 3 |
| 22 : 88 | 1 : 4 |
| 9 : 54 | 1 : 6 |
| 30 : 75 | 2 : 5 |
| 20 : 48 | 5 : 12 |
| 8 : 36 | 2 : 9 |
| 35 : 50 | 7 : 10 |
| 24 : 240 | 1 : 10 |
| 21 : 30 | 7 : 10 |
| 30 : 36 | 5 : 6 |
| 48 : 72 | 2 : 3 |
| 225 : 250 | 9 : 10 |
| 5 : 180 | 1 : 36 |
| 80 : 400 | 1 : 5 |
| 40 : 45 | 8 : 9 |

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✔ All ratios have been simplified to their lowest terms.

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