The problem asks us to rationalize the denominator of the fraction $\frac{1}{\sqrt{5}}$.

1. Problem Description

The problem asks us to rationalize the denominator of the fraction $\frac{1}{\sqrt{5}}$.

2. Solution Steps

To rationalize the denominator, we need to eliminate the radical from the denominator. In this case, we have $\sqrt{5}$ in the denominator. To get rid of the square root, we can multiply both the numerator and the denominator by $\sqrt{5}$.

$$\frac{1}{\sqrt{5}} = \frac{1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}$$

$$\frac{1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{\sqrt{5}}{(\sqrt{5})^2}$$

$$\frac{\sqrt{5}}{(\sqrt{5})^2} = \frac{\sqrt{5}}{5}$$

So the fraction with a rationalized denominator is $\frac{\sqrt{5}}{5}$.

3. Final Answer

The rationalized form of $\frac{1}{\sqrt{5}}$ is $\frac{\sqrt{5}}{5}$.