To find the product of \( \frac{1}{5} \times \frac{3}{4} \), multiply the numerators and the denominators:
\[ \text{Numerator: } 1 \times 3 = 3 \] \[ \text{Denominator: } 5 \times 4 = 20 \]
So,
\[ \frac{1}{5} \times \frac{3}{4} = \frac{3}{20} \]
Thus, the correct answer is:
\(\frac{3}{20}\)