Question

State if the following fraction has a terminating decimal

`(57)/(64)`

Answer 1

`(57)/(64)`

64 = 2 x 2 x 2 x 2 x 2 x 2 = 2⁶ x 5⁰

i.e. 64 can be expressed as 2^m x 5ⁿ.

Hence, `(57)/(64)` has terminating decimal representation.