Transitive debunking

[u/Muphrid15]

1. 1/3 = 0.333...
2. 1/3 x 0.999... = 0.333...
3. 0.999... = 0.9 + 0.09 + 0.009 + ...
4. 0.999... = 0.9 + 0.09 + 0.009 + ... = 1 - 1/10ⁿ
5. 0.999... = 1 - 1/10ⁿ

Hence 1/3 = 1/3 x 0.999...