Multiply: \( \frac{1}{8} \cdot \frac{4}{5} \)

To multiply the fractions \( \frac{1}{8} \) and \( \frac{4}{5} \), you simply multiply the numerators together and the denominators together. So, multiply the numerators: \( 1 \cdot 4 = 4 \). Then multiply the denominators: \( 8 \cdot 5 = 40 \). Putting it all together, you get \( \frac{4}{40} \). Now, simplify \( \frac{4}{40} \) by dividing both the numerator and the denominator by 4, which gives you \( \frac{1}{10} \). Therefore, \( \frac{1}{8} \cdot \frac{4}{5} = \frac{1}{10} \).