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Question

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

Solution
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The nature numbers from $$102 \, to 112$$ are : $$103, 104,105, 106, 107, 108, 109, 110, 111$$
Total number of natural number $$= 9$$
Out of these prime numbers are : $$ 103 , 107, 109 = 3$$
$$\therefore$$ Total number of these prime numbers $$= 3$$
Required fraction $$= \dfrac{3}{9} = \dfrac{1}{3}$$

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