Trollathon #3.12 : Malaysian Water
Assume that
. The fraction of the water that is filled in the cup is
where
and
are coprime positive integers. Determine
.
For those who don't know Malay, google translate is enough. :)
The answer is 2.
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1 solution
the tip google translate suggests us to look at this problem from another point of view. The space that is empty in the cup is actually filled by air. Now, using google translate, air in Malay is actually water in English. :) So, the cup is actually full. So, the answer is 1 1 . Thus, a + b = 2 .