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Question

How many rational numbers are there strictly between 0 and 1 such that the denominator of the rational number is 80?

Solution
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We know that, 080=0 and 8080=1
So, the numbers between 0 and 1 having denominator 80 are 180,280,380,480,...7880,7980
Therefore, there are 79 such positive rational numbers.

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