The question asks for the fraction that is equivalent to the repeating decimal $0.\overline{5}$.

To express $0.\overline{5}$ (where 5 repeats) as a fraction, follow these steps:

1. Let $x = 0.\overline{5}$. This means $x = 0.55555\ldots$.
2. Multiply both sides by 10 to shift the decimal point:
   $10x = 5.55555\ldots$.
3. Subtract the original equation from this new one:
   $10x - x = 5.55555\ldots - 0.55555\ldots$,
   which simplifies to $9x = 5$.
4. Solve for $x$ by dividing both sides by 9:
   $x = \frac{5}{9}$.

Thus, the fraction equivalent to $0.\overline{5}$ is $\frac{5}{9}$.

Would you like further clarification or details?

Here are 5 related questions to explore:

1. How do you convert repeating decimals to fractions in general?
2. What is the decimal representation of $\frac{7}{9}$?
3. How would you handle converting $0.\overline{12}$ to a fraction?
4. Can all repeating decimals be converted to fractions?
5. What is the difference between terminating and repeating decimals?

Tip: For repeating decimals, always assign a variable to the decimal and use algebraic manipulation to eliminate the repeating part.