Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
3
10
. Write the answer in simplest form.(1 point)
Responses
−6/50
negative Start Fraction 6 over 50 End Fraction
3/5
Start Fraction 3 over 5 End Fraction
−6/5
negative Start Fraction 6 over 5 End Fraction
−3/25
The correct answer is −6/25.
To multiply -2/5 by 3/10, you can follow these steps:
Step 1: Multiply the numerators (top numbers): -2 * 3 = -6.
Step 2: Multiply the denominators (bottom numbers): 5 * 10 = 50.
Step 3: Write the result as -6/50.
Since -6/50 can be simplified, divide both the numerator and denominator by their greatest common factor, which is 2.
-6/50 ÷ 2/2 = -3/25
Therefore, the answer, in simplest form, is -3/25.