**Natural Numbers from 102 to 113**

The natural numbers from 102 to 113 are as follows:

102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113

**Prime Numbers**

Prime numbers are natural numbers greater than 1 that have only two divisors, 1 and the number itself. In other words, prime numbers are numbers that cannot be divided evenly by any other numbers except 1 and themselves.

**Identifying Prime Numbers**

To determine whether a number is prime or not, we need to check if it is divisible by any number other than 1 and itself. The simplest way to do this is to check divisibility by all numbers from 2 to the square root of the number.

- If the number is divisible by any number within this range, it is not a prime number.
- If the number is not divisible by any number within this range, it is a prime number.

**Prime Numbers from 102 to 113**

Let's apply the above method to the numbers from 102 to 113 to identify the prime numbers:

- 102 is divisible by 2, so it is not a prime number.
- 103 is not divisible by any number between 2 and √103, so it is a prime number.
- 104 is divisible by 2 and 4, so it is not a prime number.
- 105 is divisible by 3 and 5, so it is not a prime number.
- 106 is divisible by 2 and 53, so it is not a prime number.
- 107 is not divisible by any number between 2 and √107, so it is a prime number.
- 108 is divisible by 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108, so it is not a prime number.
- 109 is not divisible by any number between 2 and √109, so it is a prime number.
- 110 is divisible by 2, 5, 10, 22, 55, and 110, so it is not a prime number.
- 111 is divisible by 3, 37, and 111, so it is not a prime number.
- 112 is divisible by 2, 4, 7, 8, 14, 16, 28, 56, and 112, so it is not a prime number.
- 113 is not divisible by any number between 2 and √113, so it is a prime number.

Therefore, the prime numbers in the given range are 103, 107, and 109.

**Fraction of Prime Numbers**

Out of the 12 natural numbers from 102 to 113, we have identified 3 prime numbers. To find the fraction of prime numbers, we divide the count of prime numbers by the total count of natural numbers in the given range.

Fraction of prime numbers = (Count of prime numbers) / (Total count of natural numbers)

Fraction of prime numbers = 3 / 12

Simplifying the fraction, we get:

Fraction of prime numbers = 1 / 4

Therefore, 1/4 or 25% of the natural numbers from 102