Răspuns :
[tex]0,1(3)\\\\=\frac{13-1}{90} \\\\=\frac{12}{90}[/tex] (simplificam 12 si 90 prin 6)
[tex]=\frac{2}{15}[/tex]
[tex]3,(8)\\\\=3\frac{8}{9} \\\\=\frac{3*9+8}{9} \\\\=\frac{27+8}{9} \\\\=\frac{35}{9}[/tex]
[tex]\frac{2}{15}+ \frac{35}{9}[/tex] (amplificam prima fractie cu 6, iar a doua cu 10)
[tex]=\frac{12}{90} +\frac{350}{90} \\\\=\frac{362}{90}[/tex] (simplificam cu 2)
[tex]=\frac{181}{45}[/tex]