+37146 x = .435454......
100x = 43.5454......
10000x = 4354.5454.....
10000x - 100x = 9900x = 4311
x = 4311/9900 = 479/1100
+592 since 0.54545454... is just \(\frac{6}{11}\)
we then know that 0.00545454... is \(\frac{6}{1100}\) and 0.43 is just \(\frac{43}{100}\),
0.43545454... = \(\frac{(43)(\frac{1100}{10})}{1100}+\frac{6}{1100} = \frac{473 + 6}{1100} = \frac{479}{1100}\)
