Expand 5/8(−8−3f)

Question

.(1 point)
Responses

158f+5
Start Fraction 15 over 8 End Fraction f plus 5

−158f+5
negative Start Fraction 15 over 8 End Fraction f plus 5

158f−5
Start Fraction 15 over 8 End Fraction f minus 5

−15/8 f−5

Answer 1

To expand the expression \( \frac{5}{8}(-8 - 3f) \), we can distribute \( \frac{5}{8} \) to both terms inside the parentheses:

\[ \frac{5}{8} \cdot (-8) + \frac{5}{8} \cdot (-3f) \]

Calculating each term separately:

1. For the first term: \[ \frac{5}{8} \cdot (-8) = \frac{5 \cdot -8}{8} = -5 \]

2. For the second term: \[ \frac{5}{8} \cdot (-3f) = \frac{5 \cdot -3f}{8} = -\frac{15}{8} f \]

Combining these results, we have:

\[ -\frac{15}{8} f - 5 \]

Therefore, the expanded expression is:

\[ -\frac{15}{8} f - 5 \]

The correct answer is:

\(-\frac{15}{8} f - 5\)