Hello from MrBillDoesMath!
Answer: 9/25
Discussion:
My first observation is that both 36 and 100 are even numbers, so let's divide each by 2.
36/100 = 18/50
Again, 18 and 50 are even numbers so let's divided each by 2
= 18/50 = 9/25
While I didn't write it out, my statement "divide them by 2" is really this:
36/100 = ( 36/2) / (100/2) = (18) /50 = ( 18/2) / (50/2) = 9/25
Confusing, isn't it!
A shorter, but equivalent, approach is to divide the numerator and denominator by 4.
Regards, MrB.