OK, lets try a different approach:
1/9 == 0.1*
0.9* == 9 * 0.1*
(1/9)*9 == 9/9
9/9 == 1
QED
Just let it go... Whichever way you look at it, 0.9 recurring is equal to 1. Always has been, always will be.
Also, why is this 12 pages when it was answered correctly in the 2nd...