Which of the following numbers are rational? Also, identify the irrational numbers.
`3/2`

Answer

To determine whether the number \( \frac{3}{2} \) is rational or irrational, we can follow these steps:

### Step-by-Step Solution:

1. **Definition of Rational Numbers**: A rational number is defined as any number that can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).

2. **Identify \( p \) and \( q \)**: In the given number \( \frac{3}{2} \):
- Here, \( p = 3 \) and \( q = 2 \).
- Both 3 and 2 are integers.

3. **Check the Denominator**: Ensure that the denominator \( q \) is not zero. In this case, \( q = 2 \), which is not zero.

4. **Conclusion**: Since \( \frac{3}{2} \) can be expressed in the form \( \frac{p}{q} \) where both \( p \) and \( q \) are integers and \( q \neq 0 \), we conclude that \( \frac{3}{2} \) is a rational number.

5. **Identify Irrational Numbers**: Since the question also asks to identify irrational numbers, we note that irrational numbers cannot be expressed in the form \( \frac{p}{q} \) and have non-terminating, non-repeating decimal expansions. Examples include \( \sqrt{2} \) and \( \pi \). However, since we are only given \( \frac{3}{2} \), we do not have any irrational numbers in this case.

### Final Answer:
- **Rational Number**: \( \frac{3}{2} \)
- **Irrational Numbers**: None identified in this case.