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Question
Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `17/40`
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Solution
Given number is `17/40`
Since 40 = 2 x 2 x 2 x 5 = 23 x 51
I.e. 40 can be expressed as 2m x 5n
∴ `17/40` is convertible into the terminating decimal.
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