Răspuns:
Explicație pas cu pas:
1,(6) = (16 - 1)/9 = 15/9 = 5/3
0,1(6) = (16 - 1)/90 = 15/90 = 1/6
(3/5 *5/3 - 5/6) : (-1/6) = (1 - 5/6) : (-1/6) = 1/6 : (-1/6) = -1
__________________
1/2 : [1/3 + 1/2 *(-3/4 + 1/2)]
= 1/2 : [1/3 + 1/2*(-3/4 + 2/4)]
= 1/2 : (1/3 - 1/2*1/4)
= 1/2 : (1/3 - 1/8)
= 1/2 : (8/24 - 3/24)
= 1/2 : 5/24
= 1/2 * 24/5
= 12/5
