Question

use properties of operations and rules for multiplying signed numbers to multiply -2/5
by 3/10. put it in simple form

Answer 1

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

1. **Multiply the numerators**: Multiply the numbers on the top of the fractions together:
\[
-2 \times 3 = -6
\]

2. **Multiply the denominators**: Multiply the numbers on the bottom of the fractions together:
\[
5 \times 10 = 50
\]

3. **Combine the results**: Place the product of the numerators over the product of the denominators:
\[
\frac{-6}{50}
\]

4. **Simplify**: To simplify the fraction, identify the greatest common factor (GCF) of 6 and 50, which is 2. Divide both the numerator and the denominator by their GCF:
\[
\frac{-6 \div 2}{50 \div 2} = \frac{-3}{25}
\]

So, the product of \(-\frac{2}{5}\) and \(\frac{3}{10}\) in simple form is:
\[
\frac{-3}{25}
\]