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

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

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

So, (-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50.

To simplify the fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 2.

-6/50 can be simplified to -3/25.

Therefore, the answer is -3/25.

To multiply -2/5 by 3/10, follow these steps:

Step 1: Multiply the numerators (top numbers) together.
-2 * 3 = -6

Step 2: Multiply the denominators (bottom numbers) together.
5 * 10 = 50

Step 3: Write the product as the numerator of the answer. (-6 will be the numerator)

Step 4: Write the product of the denominators as the denominator of the answer. (50 will be the denominator)

The answer is -6/50. However, to simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

-6 ÷ 2 = -3
50 ÷ 2 = 25

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