Write natural numbers from 2 to 12. What fraction of them are prime numbers?

Answer

To solve the problem step by step, we will first write down the natural numbers from 2 to 12, identify the prime numbers among them, and then calculate the fraction of prime numbers.

### Step-by-Step Solution:

**Step 1: Write the natural numbers from 2 to 12.**
- The natural numbers from 2 to 12 are:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

**Step 2: Count the total number of natural numbers.**
- We count the numbers listed above:
- Total numbers = 11 (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).

**Step 3: Identify the prime numbers from the list.**
- A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- The prime numbers from the list are:
- 2, 3, 5, 7, 11.

**Step 4: Count the total number of prime numbers.**
- We count the prime numbers identified:
- Total prime numbers = 5 (2, 3, 5, 7, 11).

**Step 5: Write the fraction of prime numbers.**
- The fraction of prime numbers is calculated by taking the number of prime numbers and dividing it by the total number of natural numbers:
- Fraction of prime numbers = Number of prime numbers / Total numbers = 5 / 11.

### Final Answer:
The fraction of natural numbers from 2 to 12 that are prime is **5/11**.

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