[tex]0,16 = \frac{16}{100} = \frac{4}{25} \\ \\
-3,14 = \frac{-314}{100} = \frac{-157}{50} \\ \\
0,(8) = \frac{8}{9} \\ \\
-5,(7) = (-5)*\frac{7}{9} = \frac{-52}{9} \\ \\
0,3 (5) = \frac{35-3}{90} = \frac{32}{90} = \frac{16}{45} \\ \\
8,21(6) =8 \frac{216-21}{900} = 8\frac{195}{900} = 8\frac{39}{180} = 8\frac{13}{60} = \frac{8*60+13}{60}= \frac{493}{60} \\ \\
-4,97(35) = -4\frac{9735-97}{9900} = -\frac{4*9900+9638}{9900} = -\frac{49238}{9900} [/tex]
