(h) \( \frac{8}{-5} \cdot \frac{-1}{-2}+(-2,5)= \)
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Beyond the Answer
To solve the expression \( \frac{8}{-5} \cdot \frac{-1}{-2}+(-2,5) \), first, we simplify the multiplication. The product of two negative fractions results in a positive fraction. Thus, \( \frac{8}{-5} \cdot \frac{-1}{-2} = \frac{8 \cdot 1}{5 \cdot 2} = \frac{8}{10} = \frac{4}{5} \). Now, we need to add \( \frac{4}{5} \) to \(-2.5\). Converting \(-2.5\) into a fraction gives us \(-\frac{5}{2}\). To add these fractions, we find a common denominator, which is 10. So, \( \frac{4}{5} = \frac{8}{10} \) and \(-\frac{5}{2} = -\frac{25}{10}\). Now we add: \( \frac{8}{10} - \frac{25}{10} = \frac{8 - 25}{10} = \frac{-17}{10} \). Thus, the final answer is \(-\frac{17}{10}\) or \(-1.7\).
