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 the Given Number**:
- The given number is \(-\frac{3}{2}\).

3. **Check if it Fits the Definition**:
- Here, \(p = -3\) and \(q = 2\).
- Both \(-3\) and \(2\) are integers, and \(q\) (which is \(2\)) is not equal to \(0\).

4. **Conclusion on Rationality**:
- Since \(-\frac{3}{2}\) can be expressed in the form \(\frac{p}{q}\) where both \(p\) and \(q\) are integers and \(q\) is not zero, it qualifies as a rational number.

5. **Decimal Representation**:
- If we convert \(-\frac{3}{2}\) to decimal form, we perform the division:
\[ -\frac{3}{2} = -1.5 \]
- The decimal representation \(-1.5\) is finite, which further confirms that it is a rational number.

### Final Answer:
- The number \(-\frac{3}{2}\) is a **rational number**.
- There are no irrational numbers in this case as only one number was provided.