To determine the fraction of natural numbers from 2 to 12 that are prime, we first need to identify the prime numbers in that range.
The natural numbers from 2 to 12 are: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
Next, we identify the prime numbers among them. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. The prime numbers in our list are: 2, 3, 5, 7, 11.
Counting these, we find there are 5 prime numbers.
Now, we count the total number of natural numbers from 2 to 12. There are 11 numbers in total (from 2 to 12 inclusive).
So, the fraction of prime numbers is given by the formula:
Fraction of prime numbers = (Number of prime numbers) / (Total natural numbers)
Substituting the values, we get:
Fraction of prime numbers = 5 / 11
Therefore, the fraction of the natural numbers from 2 to 12 that are prime numbers is 5/11.