To divide fractions, you can multiply by the reciprocal of the second fraction. Here, we have:
\[ \frac{3}{5} \div \frac{1}{3} = \frac{3}{5} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ = \frac{3 \times 3}{5 \times 1} = \frac{9}{5} \]
So,
\[ \frac{3}{5} \div \frac{1}{3} = \frac{9}{5} \]
The answer is \(\frac{9}{5}\) or \(1.8\) in decimal form.