What is the fractional result of multiplying 1/8 by 3/5?

To find the fractional result of multiplying ( \frac{1}{8} ) by ( \frac{3}{5} ), you multiply the numerators together and the denominators together.

The multiplication can be carried out as follows:

1. Multiply the numerators: ( 1 \times 3 = 3 ).
2. Multiply the denominators: ( 8 \times 5 = 40 ).
3. Combine the results to form a new fraction: ( \frac{3}{40} ).

This means that ( \frac{1}{8} \times \frac{3}{5} = \frac{3}{40} ).

The correct answer is ( \frac{3}{40} ) because it accurately represents the product of the two fractions, confirming that the multiplication process of both the numerators and denominators was done correctly. This result shows clearly how multiplication in fraction form works, and it provides a straightforward pathway to obtaining the final answer.