Use properterties of operations and rules for mulitiply signed number to multiply -2/5 by 3/10

Question

Write the answer in simplest form

Answer 1

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), we 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 can divide the numerator and the denominator by their greatest common divisor (GCD), which is 2: \[ \frac{-6 \div 2}{50 \div 2} = \frac{-3}{25} \]

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