Question

Expand 5/8(−8−3f)
.(1 point)
Responses

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

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

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

−15/8f+5

Answer 1

To expand the expression \(\frac{5}{8}(-8 - 3f)\), follow these steps:

1. Distribute \(\frac{5}{8}\) to both terms inside the parentheses:

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

2. Calculate each term:

\[
\frac{5}{8} \cdot (-8) = -5
\]
\[
\frac{5}{8} \cdot (-3f) = -\frac{15}{8}f
\]

3. 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).