Question

State if the following fraction has a terminating decimal

`(37)/(40)`

Answer 1

`(37)/(40)`

40 = 2 x 2 x 2 x 5 = 2³ x 5¹

i.e. 40 can be expressed as 2^m x 5ⁿ.

Hence, `(37)/(40)` has terminating decimal representation.