-2/5 times 3/10 write the answer in the simplest form

To multiply the fractions \(-\frac{2}{5}\) and \(\frac{3}{10}\), follow these steps:

1. Multiply the numerators together: \(-2 \times 3 = -6\).

2. Multiply the denominators together: \(5 \times 10 = 50\).

Now, combine the results to form a new fraction: \[ -\frac{6}{50} \]

Next, simplify the fraction. 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: \[ -\frac{3}{25} \]