Express \( 0.\overline{1}+0.\overline{01}+0.\overline{0001}\) as a common fraction.
x = 0.111111..... y = 0.01010101...... z = 0.0001000100010001.....
10x = 1.11111..... 100y = 1.01010101..... 10000z = 1.000100010001.....
9x = 1 99y = 1 9999z = 1
x = 1/9 y = 1/99 z = 1/9999
x+y+z = 1213/9999
