The repeating decimal $0.\overline{5}$ is equivalent to a fraction. To convert a repeating decimal to a fraction, follow these steps:

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

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

Let me know if you need more details or have any questions!

Here are 5 related questions:

1. How do you convert other repeating decimals into fractions?
2. What is the process for converting non-repeating decimals into fractions?
3. Can $0.\overline{5}$ be simplified further in any way?
4. How do you find the decimal representation of fractions like $\frac{7}{9}$?
5. How do mixed repeating decimals, such as $0.3\overline{4}$, convert into fractions?

Tip: When converting repeating decimals to fractions, it's helpful to use algebraic manipulation to eliminate the repeating part.