Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
To multiply fractions, multiply the numerators together and the denominators together:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 2:
-6/50 = (-6/2) / (50/2) = -3/25
So the product of -2/5 and 3/10 in simplest form is -3/25.
To multiply -2/5 by 3/10, you can follow these steps:
Step 1: Multiply the numerators: -2 x 3 = -6
Step 2: Multiply the denominators: 5 x 10 = 50
Step 3: Simplify the fraction: Since -6/50 can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD), which is 2.
-6 ÷ 2 = -3
50 ÷ 2 = 25
Step 4: Write the answer in simplest form: The simplified form of -6/50 is -3/25.
Therefore, -2/5 multiplied by 3/10 is equal to -3/25.