Răspuns:
1/9 = 0.(1)
Explicație pas cu pas:
0.(1)=1/9
0.(2)=2/9
0.(3)=3/9 (lasam asa, nu simplificam)
0.(4)=4/9.
Le adunam:
(1/9+2/9+3/9+4/9):10=(10/9):10=1/9=0.(1)
[tex]\it =\dfrac{1+2+3+4}{9}\cdot\dfrac{1}{10}=\dfrac{10}{9}\cdot\dfrac{1}{10}=\dfrac{1}{9}[/tex]
