Use properties of operation and rules 4 multiplying signed numbers to multiply -2/5 by 3/10. Write the answer in simplest form.

Question

-6/5
-3/25
-6/50
3/5

Answer 1

To multiply the fractions \(-\frac{2}{5}\) and \(\frac{3}{10}\), we multiply the numerators and denominators:

\[ \frac{-2 \times 3}{5 \times 10} = \frac{-6}{50} \]

Now, we need to simplify \(-\frac{6}{50}\). We can do this by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2:

\[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

Thus, the answer in simplest form is \(-\frac{3}{25}\). Therefore, the correct option is:

-3/25