Question

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 −6/5 negative Start Fraction 6 over 5 End Fraction −3/25 negative Start Fraction 3 over 25 End Fraction −6/50

Answer 1

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

1. Multiply the numerators: \(-2 \times 3 = -6\)
2. Multiply the denominators: \(5 \times 10 = 50\)
3. Combine the results: \(-\frac{6}{50}\)

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

Thus, the final answer is \(-\frac{3}{25}\).

The correct response is:
**−3/25** (negative Start Fraction 3 over 25 End Fraction).