how to work out the ratio between 3 parts

To work out the ratio between three parts, follow these steps:

### Example Problem:
Imagine you have three values: 
- Part 1 = 6
- Part 2 = 9
- Part 3 = 15

### Step-by-Step Process:

1. **Find the greatest common divisor (GCD):**
   First, find the GCD of the three values. In this case, the GCD of 6, 9, and 15 is 3.

2. **Divide each part by the GCD:**
   Now, divide each part by the GCD to simplify the ratio.
   - 6 ÷ 3 = 2
   - 9 ÷ 3 = 3
   - 15 ÷ 3 = 5

3. **Write the ratio:**
   The ratio between the three parts is 2:3:5.

This is the simplest form of the ratio between the three parts.

### Tip:
Always check if the numbers can be further simplified by dividing by the greatest common divisor.

Do you want further details or have any questions on this process?

### Related Questions:
1. How do you find the GCD of three numbers?
2. How can you express a ratio in decimal form?
3. What are some real-world examples where ratios are used?
4. How do you scale a ratio when increasing or decreasing quantities?
5. What is the difference between a ratio and a proportion?

Learn how to calculate and simplify the ratio between three values using the greatest common divisor (GCD). This step-by-step guide walks through an example with values 6, 9, and 15, resulting in the ratio 2:3:5. Ideal for students in Grades 5-7.

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