[tex]4.15 = \frac{415}{100} = \frac{83}{20} [/tex]
[tex]2.(18) = \frac{218 - 2}{99} = \frac{216}{99} = \frac{24}{11} [/tex]
[tex]0.3(54) = \frac{354 - 3}{990} = \frac{351}{990} = \frac{117}{330} = \frac{39}{110} [/tex]
[tex]2.534 = \frac{2534}{1000} = \frac{1267}{500} [/tex]
[tex]0.35(4) = \frac{354 - 35}{900} = \frac{319}{900}[/tex]
[tex]1.8(6) = \frac{186 - 18}{90} = \frac{168}{90} = \frac{56}{30} = \frac{28}{15} [/tex]
[tex]13.85 = \frac{1385}{100} = \frac{277}{20} [/tex]
[tex]5.02(7) = \frac{5027 - 502}{900} = \frac{4525}{900} = \frac{181}{36} [/tex]
[tex]1.0025 = \frac{10025}{10000} = \frac{401}{400} [/tex]
[tex]0.008 = \frac{8}{1000} = \frac{1}{125} [/tex]
[tex]2.00(3) = \frac{2003 - 2}{900} = \frac{2001}{900} = \frac{667}{300} [/tex]