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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)
Responses

3/5
Start Fraction 3 over 5 End Fraction

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

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

−6/5

1 answer

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), 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 \(-\frac{6}{50}\) by finding the greatest common divisor (GCD) of 6 and 50, which is 2: \[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

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

So, the correct response is: −3/25