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

1 answer

To multiply two fractions, you multiply the numerators together and the denominators together.

The numerator of the first fraction is -2, and the numerator of the second fraction is 3. So when we multiply them together, we get (-2)(3) = -6.

The denominator of the first fraction is 5, and the denominator of the second fraction is 10. So when we multiply them together, we get (5)(10) = 50.

Therefore, the product of -2/5 and 3/10 is -6/50.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.

-6 divided by 2 is -3, and 50 divided by 2 is 25.

Therefore, the answer in simplest form is -3/25.