Answer :

To find the simplest form, first multiply by integers, starting with 1, then 2, then 3, and so on until the multiplication yield a whole number.

For instance:
0.25*1 = 0.25
0.25*2 = 0.5
0.25*3 = 0.75
0.25*4 = 1
the simplest form uses the denominator of 4 and a numerator of 1

following the same procedure:
2.3*1 = 2.3
2.3*2 = 4.6
etc....
2.3*10 = 23
denominator is 10 and numerator is 23

Answers:
1) 1/4
2) 23/10