The fraction whose numerator is the smallest odd prime number and denominator is the smallest composite number is

Options

A. `3/4`
B. `2/4`
C. `4/3`
D. `4/2`

Answer

To solve the problem of finding the fraction whose numerator is the smallest odd prime number and denominator is the smallest composite number, we can follow these steps:

### Step 1: Identify the smallest odd prime number
- **Definition**: A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
- **List of prime numbers**: The first few prime numbers are 2, 3, 5, 7, 11, etc.
- **Finding the smallest odd prime**: The smallest prime number is 2, but it is even. The next prime number is 3, which is odd.

**Conclusion**: The smallest odd prime number is **3**.

### Step 2: Identify the smallest composite number
- **Definition**: A composite number is a positive integer that has at least one positive divisor other than one or itself. This means it has more than two factors.
- **List of composite numbers**: The first few composite numbers are 4, 6, 8, 9, 10, etc.
- **Finding the smallest composite**: The smallest composite number is **4**.

### Step 3: Form the fraction
- **Numerator**: From Step 1, we found that the smallest odd prime number is 3.
- **Denominator**: From Step 2, we found that the smallest composite number is 4.
- **Fraction**: Therefore, the fraction is \( \frac{3}{4} \).

### Final Answer
The fraction whose numerator is the smallest odd prime number and denominator is the smallest composite number is \( \frac{3}{4} \).

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