use properties of operations and rules for multiplying signed numbers to multiply -2/5

Question

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: \[ \frac{-3}{25} \]