I discovered another proof.
1/9=0.1r
1/9+0.9r=1.1r bcause all the 1s added to the 9swill make the 1s go forward.
Hence 0.9r=1
1/9=0.1r
1/9+0.9r=1.1r bcause all the 1s added to the 9swill make the 1s go forward.
Hence 0.9r=1