1. The problem is to express the fraction $\frac{1}{9}$ in decimal form. 2. Recall that dividing 1 by 9 results in a repeating decimal. 3. Perform the division: 1 divided by 9 equals approximately 0.1111..., where the digit 1 repeats indefinitely. 4. Therefore, $\frac{1}{9} = 0.\overline{1}$, indicating the digit 1 repeats infinitely. 5. This is a standard fact about ninths and repeating decimals.