Use properties of operation and rules for multiplying sign numbers to multiply -2/5 by 3/10 write the answer in simplest form

To multiply -2/5 by 3/10, we need to multiply the numerators and denominators:

(-2/5) * (3/10) = (-2 * 3) / (5 * 10)

(-2 * 3) = -6 and (5 * 10) = 50

Therefore, the simplified answer is -6/50.

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 result from Step 1 as the new numerator.
Step 4: Write the result from Step 2 as the new denominator.
Step 5: Simplify the fraction, if possible.

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

To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.
Dividing -6 by 2 gives -3, and dividing 50 by 2 gives 25.

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