Use properties of operations and rules for multiplying signed numbers to multiply-2/5 by 3/10 . Write the answer in simplest form

Question

-6/5
-6/50
-3/25
3/5

Answer 1

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

1. Multiply the numerators: \[ -2 \times 3 = -6 \]

2. Multiply the denominators: \[ 5 \times 10 = 50 \]

3. Combine the results: \[ -\frac{6}{50} \]

4. Simplify the fraction: To simplify \(-\frac{6}{50}\), we divide the numerator and the denominator by their greatest common divisor, which is \(2\): \[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

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

From the options provided, the correct answer is: -3/25.