1. **State the problem:** Simplify the expression $-5 - \frac{4}{5}$. 2. **Rewrite the integer as a fraction:** To subtract fractions, express $-5$ as $\frac{-5}{1}$. 3. **Find a common denominator:** The denominators are $1$ and $5$, so the common denominator is $5$. 4. **Convert $-5$ to have denominator $5$:** $$-5 = \frac{-5}{1} = \frac{-5 \times 5}{1 \times 5} = \frac{-25}{5}$$ 5. **Rewrite the expression:** $$-5 - \frac{4}{5} = \frac{-25}{5} - \frac{4}{5}$$ 6. **Subtract the numerators:** $$\frac{-25 - 4}{5} = \frac{-29}{5}$$ 7. **Final answer:** $$-5 - \frac{4}{5} = \frac{-29}{5}$$