Expand 7/4(8h+3). (1 point)

1 answer

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:

  1. \( \frac{7}{4} \cdot 8h = \frac{7 \cdot 8}{4}h = \frac{56}{4}h = 14h \)
  2. \( \frac{7}{4} \cdot 3 = \frac{21}{4} \)

Putting it all together, the expanded form is:

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

So, the final answer is:

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