Expand 5/8(−8−3f)

Question

.(1 point)
Responses

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

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

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

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

Answer 1

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

1. Distributing \( \frac{5}{8} \) to \(-8\): \[ \frac{5}{8} \cdot (-8) = -\frac{5 \cdot 8}{8} = -5 \]

2. Distributing \( \frac{5}{8} \) to \(-3f\): \[ \frac{5}{8} \cdot (-3f) = -\frac{15}{8}f \]

Now combine both results: \[ \frac{5}{8}(-8 - 3f) = -5 - \frac{15}{8}f \]

So the final expanded expression is: \[ -\frac{15}{8}f - 5 \]

Thus, the correct response is: −\(\frac{15}{8}f−5\).