The problem is to simplify the expression $\frac{\sqrt{3}}{3\sqrt{5}}$.

1. Problem Description

The problem is to simplify the expression $\frac{\sqrt{3}}{3\sqrt{5}}$.

2. Solution Steps

To simplify the expression $\frac{\sqrt{3}}{3\sqrt{5}}$, we need to rationalize the denominator. We can do this by multiplying both the numerator and denominator by $\sqrt{5}$:

$$\frac{\sqrt{3}}{3\sqrt{5}} = \frac{\sqrt{3} \cdot \sqrt{5}}{3\sqrt{5} \cdot \sqrt{5}}$$

Using the property $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$, we get:

$$\frac{\sqrt{3 \cdot 5}}{3 \cdot 5} = \frac{\sqrt{15}}{15}$$

Thus, the simplified expression is $\frac{\sqrt{15}}{15}$.

3. Final Answer

$\frac{\sqrt{15}}{15}$