Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Note the bar above 1 means 1 is repeating , that is
0.111..
We require 2 equations with the repeating digit placed after the decimal point
let x = 0.111.... (1) Multiply both sides by 10
10x = 1.111... (2)
Subtract (1) from (2) thus eliminating the repeating digit
9x = 1 ( divide both sides by 9 )
x = [tex]\frac{1}{9}[/tex]
