Question

Expand \(\frac{7}{4}\left(8h+3\right)\). (1 point)

Answer 1

To expand \(\frac{7}{4}\left(8h+3\right)\), you need to distribute \(\frac{7}{4}\) to both terms inside the parentheses.

1. Multiply \(\frac{7}{4}\) by \(8h\):
\[
\frac{7}{4} \cdot 8h = \frac{7 \cdot 8h}{4} = \frac{56h}{4} = 14h
\]

2. Multiply \(\frac{7}{4}\) by \(3\):
\[
\frac{7}{4} \cdot 3 = \frac{7 \cdot 3}{4} = \frac{21}{4}
\]

Now, combine the two results:
\[
\frac{7}{4}\left(8h+3\right) = 14h + \frac{21}{4}
\]

Thus, the expanded form is:
\[
\boxed{14h + \frac{21}{4}}
\]