Răspuns:
Explicație pas cu pas:
a) 1,(1) = (11-1)/9 = 10/9
b) 2,(15) = (215-2)/99 = 213/99⁽³ = 71/33
c) 0,(5) = 5/9
d) 3,(6) = (36-3)/9 = 33/9⁽³ = 11/3
e) 0,(54) = 54/99 ⁽³ = 18/33⁽³ = 6/11
f) 5,(162) = (5162-5)/999 = 5157/999⁽³ = 1719/333⁽³ = 573/111⁽³ = 191/37
g) 0,1(7) = (17-1)/90 = 16/90⁽² = 8/45
h) 0,2(13) = (213-2)/990 = 211/990
i) 3,34(5) = (3345-334)/900 = 3011/900
j) 0,02(6) = (26-2)/900 = 24/900⁽⁴ = 6/225⁽³ = 2/75