Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `32/45`

Answer 1

Given number is `32/45`

Since, 45 = 3 x 3 x 5 = 3² x 5¹
I.e. 45 cannot be expressed as 2^m x 5ⁿ

∴ `32/45` is not convertible into the terminating decimal.