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

3/5
Start Fraction 3 over 5 End Fraction

−3/25

Answer 1

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), we can use the rules for multiplying signed numbers and multiply the fractions directly.

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: The greatest common divisor (GCD) of 6 and 50 is 2. We can simplify: \[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

So the answer in simplest form is: \[ \boxed{-\frac{3}{25}} \]