0.222 is 222/1000, which reduces to 111/500. 
Two tenths, or 2/10 is equal to 0.2. It is also equal to 1/5. 
Now, let x = 0.22222222..... 
 let 10x = 2.22222......... 
Then, 9x = 2.000.... i.e., 9x = 2, or x = 2/9. 
So, 2/9 = 0.222222222...... 
The literal answer to your question is: 
Answer: 
0.222 = 111/500