To perform the operation \(-2 - \frac{5}{8}\), you can first convert \(-2\) into a fraction with the same denominator as \(\frac{5}{8}\).
Convert \(-2\) to a fraction: \[ -2 = -\frac{16}{8} \]
Now, add \(-\frac{16}{8}\) and \(-\frac{5}{8}\): \[ -\frac{16}{8} - \frac{5}{8} = -\frac{16 + 5}{8} = -\frac{21}{8} \]
So, \(-2 - \frac{5}{8} = -\frac{21}{8}\).
Alternatively, you can express the answer as a mixed number:
\[ -\frac{21}{8} = -2 \frac{5}{8} \]
Thus, the final answer is: \[ -\frac{21}{8} \quad \text{or} \quad -2 \frac{5}{8} \]