Question

8. Rezultatul calculului 0,1(3) +3,(8) este​

Answer 1

$0,1(3)\\\\=\frac{13-1}{90} \\\\=\frac{12}{90}$    (simplificam 12 si 90 prin 6)

$=\frac{2}{15}$

$3,(8)\\\\=3\frac{8}{9} \\\\=\frac{3*9+8}{9} \\\\=\frac{27+8}{9} \\\\=\frac{35}{9}$

$\frac{2}{15}+ \frac{35}{9}$   (amplificam prima fractie cu 6, iar a doua cu 10)

$=\frac{12}{90} +\frac{350}{90} \\\\=\frac{362}{90}$ (simplificam cu 2)

$=\frac{181}{45}$

Answer 2

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

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

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

= 4,0(2)