This is a bit complex but here we can start by a simple example andthenuse it for the6.55%; consider 1/3. This is 33.33% (1/3= 0.3333 which multiplied by 100 gives 33.33%); now we'll use these same steps but backwards:
a) 6.55%/100=0.0655
b) 1/ 0.0655 = 15.27
c) so 1/ 15.26 = 0.0655 which is 6.55%
d) as we want this with integer numbers, multiply by 100 both terms, giving
1/15.26 = 100/1526
e) from here we can reduce it, as follows:
100/1526 = 50*2/(763*2) = 50/763 = (5*10)/763 = (5*5*2)/763
f) if 763 can be divided by 5 or 2,then one can reduce it, but this is not possible, therefore 6.55% = 50/763