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Mathematics

How many natural numbers are there between 102 and 112? What fraction of them are prime numbers?

Fractions

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Answer

Natural numbers between 102 and 112 are:

103, 104, 105, 106, 107, 108, 109, 110, 111 and their number = 9.

Out of these, the prime numbers are:

103, 107, 109 and their number = 3.

Fraction of prime numbers = Number of primesTotal numbers=39=13\dfrac{\text{Number of primes}}{\text{Total numbers}} = \dfrac{3}{9} = \dfrac{1}{3}.

Hence, total natural numbers = 9 and fraction of prime numbers = 13\dfrac{1}{3}.

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