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: \[ \boxed{14h + \frac{21}{4}} \]