Find the smallest prime number between 87 and 95.
Answers
Answer:
A natural number is any integer which is greater than 0. Here we are asked to calculate the fraction of the prime numbers between 87 and 97.
First let us write down the natural numbers which occur between 87 and 97. Now the natural numbers between 87 and 97 are given by 87,88,89,90,91,92,93,94,95,96,97 .
Thus we get 11 natural numbers between 87 and 97.
Our next step is to find the prime numbers between 87 and 97.
After observing each and every natural number between 87 and 97, we get only 2 prime numbers, namely 89 and 97.
Thus we got 2 prime numbers out of the 11 numbers between 87 and 97.
Now we find out the fraction value of the prime numbers.
Since we got only 2 numbers as primes out of the 11 numbers between 87 and 97, then the fraction value of the prime numbers must be =The number of primes obtainedThe total no. of natural numbers obtained=211
Therefore there are 11 natural numbers between 87 and 97.
The fraction of them being prime numbers is 211 .
Hence option (C) is correct.
Note: A natural number is also called as a Positive Integer. And a prime number is defined as those numbers who are only divisible by 1 and itself. In this problem, we obtained 2 prime numbers 89 and 97. Note that, there is no other divisor of 89 other than 1 and 89 itself. Same argument goes for 97 being prime. And for the other numbers, they are mostly divisible by either 2 or 3or5 or7.