To multiply the two mixed numbers \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\), we first convert them to improper fractions.
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Convert \(-2 \frac{1}{2}\) to an improper fraction: \[ -2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2} \]
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Convert \(-1 \frac{3}{5}\) to an improper fraction: \[ -1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5} \]
Now we multiply the two improper fractions: \[ \left(-\frac{5}{2}\right) \times \left(-\frac{8}{5}\right) \]
When multiplying two negative fractions, the result will be positive: \[ \frac{5 \times 8}{2 \times 5} = \frac{40}{10} = 4 \]
Now, let's write the answer as a decimal. Since \(4\) is already a whole number, it is equivalent to \(4.0\).
So the final answer is:
4