[tex]x = 0,(45)=0,4545 ...\\\\100x = 45,4545 ...\\\\100x - x = 45,4545 ... - 0,4545 ...\\\\99x = 45 \ \ /:99\\\\x = \frac{45}{99} = \frac{5}{11}[/tex]
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[tex]x = 8,72(5) =8,7255 ...\\\\100x = 872,5 ...\\\\1000x = 8725,5 ...\\\\1000x - 100x = 8725,5 ... - 872,5 ...\\\\900x = 7853 \ \ /:900\\\\x = \frac{7853}{900}[/tex]
