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

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

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

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

3/5
Start Fraction 3 over 5 End Fraction
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Answer 1

To multiply the signed numbers \(-\frac{2}{5}\) and \(\frac{3}{10}\), we follow the rules for multiplying fractions:

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: Both the numerator and denominator can be divided by 2: \[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

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

Thus, the correct response is: −3/25 (or negative Start Fraction 3 over 25 End Fraction).