**Mean Method to Find Rational Numbers between any 2 Rational Numbers**

To find rational numbers between any two given rational numbers, we can make use of the mean method. This method involves finding the mean or average of the given numbers and using it as a rational number between them. Let's understand this concept in detail.

**Step-by-Step Explanation:**

1. **Understand Rational Numbers:**
- Rational numbers are numbers that can be expressed as a fraction or ratio of two integers.
- They can be positive or negative and include whole numbers, fractions, and decimals.
- For example, 1/2, -3/4, 5, and 0.75 are all rational numbers.

2. **Identify the Given Rational Numbers:**
- Let's assume we have two rational numbers, Rational Number A and Rational Number B.
- Let A = p/q and B = r/s, where p, q, r, and s are integers and q and s are not equal to zero.

3. **Find the Mean or Average:**
- To find a rational number between A and B, we need to find the mean or average of A and B.
- The mean can be calculated using the formula: Mean = (A + B)/2.

4. **Express the Mean as a Rational Number:**
- The mean obtained in the previous step is a rational number between A and B.
- Express the mean in the form p'/q', where p' and q' are integers and q' is not equal to zero.

5. **Example:**
- Let's take an example to understand the method better.
- Assume A = 1/2 and B = 3/4.
- Calculating the mean: (1/2 + 3/4)/2 = (2/4 + 3/4)/2 = 5/8.
- Therefore, 5/8 is a rational number between 1/2 and 3/4.

By following this mean method, we can easily find rational numbers between any two given rational numbers. It is a simple and effective technique for generating rational numbers within a specified range.

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