Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10

Question

. Write the answer in simplest form.(1 point)
Responses

−6/50
negative Start Fraction 6 over 50 End Fraction

−6/5
negative Start Fraction 6 over 5 End Fraction

−3/25
negative Start Fraction 3 over 25 End Fraction

3/5

Answer 1

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), we follow these steps:

1. Multiply the numerators: \(-2 \times 3 = -6\).

2. Multiply the denominators: \(5 \times 10 = 50\).

3. Combine the results: \(-\frac{6}{50}\).

4. Simplify the fraction: To simplify \(-\frac{6}{50}\), we find the greatest common divisor (GCD) of 6 and 50, which is 2.

   \(-\frac{6 \div 2}{50 \div 2} = -\frac{3}{25}\).

So, the answer in simplest form is \(-\frac{3}{25}\).

The correct response is:

−3/25.