To divide fractions, you can multiply by the reciprocal of the divisor.
So, to divide \( \frac{13}{20} \) by \( \frac{1}{3} \), you multiply \( \frac{13}{20} \) by the reciprocal of \( \frac{1}{3} \), which is \( 3 \):
\[ \frac{13}{20} \div \frac{1}{3} = \frac{13}{20} \times \frac{3}{1} \]
Now, multiply the numerators and the denominators:
\[ \frac{13 \times 3}{20 \times 1} = \frac{39}{20} \]
So, \( \frac{13}{20} \div \frac{1}{3} = \frac{39}{20} \).
This can also be expressed as a mixed number:
\[ \frac{39}{20} = 1 \frac{19}{20} \]
Thus, the answer is \( \frac{39}{20} \) or \( 1 \frac{19}{20} \).