[tex]\displaystyle \frac{2}{5} \cdot 0,1(6)= \frac{2}{5} \cdot \frac{16-1}{90} = \frac{2}{5} \cdot \frac{15}{90} = \frac{2}{5} \cdot \frac{1}{6} = \frac{2}{30} = \frac{1}{15} \\ \\ \frac{4}{9} -0,(5): \frac{5}{3} = \frac{4}{9} - \frac{5}{9} \cdot \frac{3}{5} = \frac{4}{9} - \frac{15}{45} = \frac{4}{9} - \frac{3}{9}= \frac{1}{9} [/tex]
