To express the fraction \( \frac{6}{11} \) as a repeating decimal, we first perform the division.
When you divide 6 by 11, you get:
- 0.545454...
The digits "54" repeat indefinitely.
To indicate that "54" is the repeating part, we use bar notation. Therefore, the correct representation of the repeating decimal for \( \frac{6}{11} \) in bar notation is:
\[ 0.\overline{54} \]