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Mathematics

How many natural numbers are there from 87 to 97? What fraction of them are prime numbers?

Fractions

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Answer

Natural numbers from 87 to 97 are :

87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97 and their number = 11.

Out of these, the prime numbers are 89, 97.

Fraction of prime numbers = Number of primesTotal numbers=211\dfrac{\text{Number of primes}}{\text{Total numbers}} = \dfrac{2}{11}.

Hence, total natural numbers = 11 and fraction of prime numbers = 211\dfrac{2}{11}.

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