2 - 1 = 0,99999999999999... ?

2 - 1 = 0,99999999999999... ?


Version 1 :
(1) a = 0,99999999999999...
(2) 10×a = 9,99999999999999...
(3) 10×a = 9 + 0,99999999999999...
(4) 10×a = 9 + a
(5) 10×a - a = 9
(6) 9×a = 9
(7) a = 1
Version 2 :
1 = 3 x (1/3) = 3 x 0.33333333333... = 0.99999999999...
Est ce possible ?