x = .435454......
100x = 43.5454......
10000x = 4354.5454.....
10000x - 100x = 9900x = 4311
x = 4311/9900 = 479/1100
since 0.54545454... is just 611
we then know that 0.00545454... is 61100 and 0.43 is just 43100,
0.43545454... = (43)(110010)1100+61100=473+61100=4791100