Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `61/75`

Answer 1

Given number is `61/75`

Since 75 = 3 x 5 x 5 = 3¹ x 5²
i.e. 75 cannot be expressed as 2^m x 5ⁿ

∴ `61/75` is not convertible into the terminating decimal.