To divide fractions, you can multiply by the reciprocal of the second fraction.
So, to find \( \frac{13}{20} \div \frac{1}{3} \), you can rewrite it as:
\[ \frac{13}{20} \times \frac{3}{1} \]
Now multiply the numerators and the denominators:
\[ \frac{13 \times 3}{20 \times 1} = \frac{39}{20} \]
Thus, \( \frac{13}{20} \div \frac{1}{3} = \frac{39}{20} \).
If needed, you can also express \( \frac{39}{20} \) as a mixed number:
\[ \frac{39}{20} = 1 \frac{19}{20} \]
So, the final answer is \( \frac{39}{20} \) or \( 1 \frac{19}{20} \).