Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10

Question

Write the answer in simplest form.(1 point)
Responses

−3/25

−6/50

3/5

−6/5

Answer 1

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), you can use the rule that when multiplying a negative number by a positive number, the result is negative.

Here are the steps:

1. Multiply the numerators:
   \(-2 \times 3 = -6\)

2. Multiply the denominators:
   \(5 \times 10 = 50\)

3. Put together the result:
   \(-\frac{6}{50}\)

4. Simplify the fraction:
   \(-\frac{6 \div 2}{50 \div 2} = -\frac{3}{25}\)

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