Multiply −2 1/2 by −1 3/5. Write the answer as a decimal.(1 point) Responses

1 answer

To multiply \(-2 \frac{1}{2}\) by \(-1 \frac{3}{5}\), first convert them to improper fractions.

  1. Convert \(-2 \frac{1}{2}\): \[ -2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2} \]

  2. Convert \(-1 \frac{3}{5}\): \[ -1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5} \]

Now multiply the two improper fractions together: \[ \left(-\frac{5}{2}\right) \times \left(-\frac{8}{5}\right) = \frac{5 \times 8}{2 \times 5} = \frac{40}{10} = 4 \]

Now, convert \(4\) to decimal: \[ 4.0 \]

Thus, the answer is: 4.0