To expand the expression \(\frac{5}{8}(-8 - 3f)\), follow these steps:
- Distribute \(\frac{5}{8}\) to both terms inside the parentheses:
\[ \frac{5}{8} \cdot (-8) + \frac{5}{8} \cdot (-3f) \]
- Calculate each term:
\[ \frac{5}{8} \cdot (-8) = -5 \] \[ \frac{5}{8} \cdot (-3f) = -\frac{15}{8}f \]
- Combine the results:
\[ -\frac{15}{8}f - 5 \]
Thus, the expanded expression is:
\(-\frac{15}{8}f - 5\)
The correct response from the options given is:
−15/8f−5 (negative Start Fraction 15 over 8 End Fraction f minus 5).