use properties of operations and rules for multiplying side numbers to multiply -2/5 by 3/10 write the answer in simplest form.

To multiply fractions, we simply multiply the numerators and multiply the denominators.

Multiplying the numerators: -2 × 3 = -6
Multiplying the denominators: 5 × 10 = 50

Therefore, -2/5 multiplied by 3/10 equals -6/50.

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

Dividing -6 by 2: -6 ÷ 2 = -3
Dividing 50 by 2: 50 ÷ 2 = 25

So, -6/50 in simplest form is -3/25.

To multiply -2/5 by 3/10 and write the answer in simplest form, 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: The product of -6/50 is the answer. However, this fraction can be simplified further.
Step 4: To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 6 and 50 is 2.
Step 5: Divide both the numerator and denominator by the GCD (2): -6/2 ÷ 50/2 = -3/25.
Therefore, -2/5 multiplied by 3/10 and written in simplest form is -3/25.