Question

State if the following fraction has a terminating decimal.

`(59)/(75)`

Answer 1

`(59)/(75)`

75 = 5 x 5 x 3 = 2² x 3^1.

i.e. 75 cannot be expressed as 2^m x 5ⁿ.

Hence, `(59)/(75)` does not have terminating decimal representation.