To determine which decimal is equivalent to $\frac{6}{11}$, let's divide $6$ by $11$:

1. Perform long division of $6 \div 11$:
   • $11$ goes into $60$ five times ($11 \times 5 = 55$).
   • Subtract $55$ from $60$, leaving a remainder of $5$.
   • Bring down $0$, making it $50$. $11$ goes into $50$ four times ($11 \times 4 = 44$).
   • Subtract $44$ from $50$, leaving a remainder of $6$.
   • This repeats the cycle.

So, $\frac{6}{11} = 0.\overline{54}$.

Correct Answer: D. $0.\overline{54}$

Would you like a detailed explanation or further assistance?

Here are 5 follow-up questions to deepen your understanding:

1. How can we express repeating decimals as fractions?
2. Why does $6 \div 11$ result in a repeating decimal?
3. How do you convert repeating decimals back to fractions?
4. Are there any patterns in which fractions produce repeating decimals?
5. How would $\frac{7}{11}$ differ from $\frac{6}{11}$ as a decimal?

Tip: Repeating decimals can always be represented as a fraction where the denominator is a product of factors other than $2$ and $5$.