Question

State if the following fraction has a terminating decimal.

`(89)/(125)`

Answer 1

`(89)/(125)`

125 = 5 x 5 x 5 = 2⁰ x 5³

i.e. 125 can be expressed as 2^m x 5ⁿ.

Hence, `(89)/(125)` has terminating decimal representation.