To expand \( \frac{7}{4}(8h + 3) \), distribute \( \frac{7}{4} \) to each term inside the parentheses:
\[ \frac{7}{4} \cdot 8h + \frac{7}{4} \cdot 3 \]
Now, calculate each term:
- \( \frac{7}{4} \cdot 8h = \frac{7 \cdot 8}{4}h = \frac{56}{4}h = 14h \)
- \( \frac{7}{4} \cdot 3 = \frac{21}{4} \)
Putting it all together, the expanded form is:
\[ 14h + \frac{21}{4} \]
So, the final answer is:
\[ 14h + \frac{21}{4} \]