If x=0.111...x = 0.111...x=0.111... and y=0.090909...y = 0.090909...y=0.090909..., what is the sum x+yx + yx+y expressed as a fraction?
19+111\frac{1}{9} + \frac{1}{11}91+111
2099\frac{20}{99}9920
29\frac{2}{9}92
2299\frac{22}{99}9922