To multiply the mixed numbers \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\), we'll first convert them to improper fractions.
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Convert \(-2 \frac{1}{2}\) to an improper fraction: \[-2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\left(4 + 1\right)/2 = -\frac{5}{2}\]
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Convert \(-1 \frac{3}{5}\) to an improper fraction: \[-1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\left(5 + 3\right)/5 = -\frac{8}{5}\]
Now, multiply the two improper fractions:
\[ -\frac{5}{2} \times -\frac{8}{5} = \frac{5 \times 8}{2 \times 5} = \frac{40}{10} = 4 \]
So the product is \(4\).
Finally, as a decimal, the answer is:
4.