Question

without dividing state wether the following are terminating or non terminating

Answer 1

13/50 is terminating.
280/370 is non terminating.
53/8 is terminating.

Answer 2

Those no.s are terminating whose denominator can be expressed in the form 2^m or 5^n or 2^m*5^n
1) 13/50 = 13/2*5^2
It is terminating

2) 280/370 = 280/2*5*37
As it contains 37, it is non terminating

3) 53/8 = 53/2^3
It is terminating