Express \(0.\overline{1}+0.\overline{02}+0.\overline{003}\) as a common fraction.
1/9 = 0.111111...
2/99 = 0.020202...
3/999 = 0.003003003...
1/9 + 2/99 + 3/999
For a common denominator, use 9 x 11 x 111 = 10989
1221/10989 + 222/10989 + 33/10989 = 1476/10989
.....which is also 164/1221 another 'common' fraction.......common....sheesh !