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:

$$-\frac{6÷2}{50÷2}=-\frac{3}{25}$$

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

-3/25