The reciprocal of the smallest prime number is _______

Options

A. 0
B. `(1)/(2)`
C. 1
D. 2

Answer

### Step-by-Step Solution

1. **Identify the smallest prime number**:
- Prime numbers are defined as numbers that have exactly two distinct positive divisors: 1 and the number itself.
- The smallest prime number is **2**.

2. **Understand what a reciprocal is**:
- The reciprocal of a number is defined as 1 divided by that number.
- For example, the reciprocal of a number \( x \) is \( \frac{1}{x} \).

3. **Calculate the reciprocal of the smallest prime number**:
- Since the smallest prime number is 2, we find its reciprocal by calculating \( \frac{1}{2} \).

4. **Write the final answer**:
- The reciprocal of the smallest prime number (which is 2) is \( \frac{1}{2} \).

### Final Answer:
The reciprocal of the smallest prime number is **\( \frac{1}{2} \)**.

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