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Question
Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `61/75`
Solution
Given number is `61/75`
Since 75 = 3 x 5 x 5 = 31 x 52
i.e. 75 cannot be expressed as 2m x 5n
∴ `61/75` is not convertible into the terminating decimal.
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