To multiply \( 4 \) by \( -\frac{5}{8} \):
\[ 4 \times -\frac{5}{8} = -\frac{20}{8} \]
Next, we simplify \( -\frac{20}{8} \):
\[ -\frac{20}{8} = -\frac{5}{2} \]
Now, we can convert \( -\frac{5}{2} \) into a mixed number. The whole number part is \( -2 \) (since \( 5 \div 2 = 2 \) with a remainder of \( 1 \)). Thus:
\[ -\frac{5}{2} = -2 \frac{1}{2} \]
Final answer in mixed number form and simplified form is:
\[ -2 \frac{1}{2} \]