0,(1) =\(\frac{1}{9}\); 0,0(33) = 0,(01).33 : 10 =\(\frac{33}{99}:10=\frac{1}{30}\);
8,2(7) = 82,(7) : 10 =\(\frac{82+0,\left(1\right).7}{10}=\frac{82+\frac{7}{9}}{10}=\frac{745}{9}:10=\frac{149}{18}\)
1,00(001) = 100,(001) : 100 =\(\frac{100+\frac{1}{999}}{10}=\frac{99901}{999}:10=\frac{99901}{9990}\)