To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), you multiply the numerators together and the denominators together:
\[ -\frac{2}{5} \times \frac{3}{10} = \frac{-2 \times 3}{5 \times 10} = \frac{-6}{50} \]
Next, we need to simplify \(-\frac{6}{50}\).
Both the numerator and the denominator can be divided by 2:
\[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]
So, the answer in simplest form is \(-\frac{3}{25}\).
The correct response is: −3/25.