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]

0,1(3) + 3,(8) =

= 0,1(3) + 3,8(8)

= 3,9(3) + 0,0(8)

= 4,0(2)