To solve \(-2 \frac{4}{5} \times \left(-\frac{2}{5}\right)\), we first need to convert the mixed number \(-2 \frac{4}{5}\) into an improper fraction.
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Convert \(-2 \frac{4}{5}\) to an improper fraction: \[ -2 \frac{4}{5} = -\left(2 \times 5 + 4\right) / 5 = -\left(10 + 4\right) / 5 = -\frac{14}{5} \]
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Now, multiply the two fractions: \[ -\frac{14}{5} \times -\frac{2}{5} = \frac{14 \times 2}{5 \times 5} = \frac{28}{25} \]
Thus, the result of the expression \(-2 \frac{4}{5} \times \left(-\frac{2}{5}\right)\) is: \[ \frac{28}{25} \]
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