Expand 7/4(8h+3)

Answer 1

To expand the expression \( \frac{7}{4}(8h+3) \), you distribute the factor \( \frac{7}{4} \) to each term inside the parentheses. Here's how you do it:

First, multiply \( \frac{7}{4} \) by \( 8h \):
\( \frac{7}{4} \times 8h = \frac{7 \times 8h}{4} \)

Since \( 8 \) is divisible by \( 4 \), this simplifies to:
\( \frac{7 \times 2h}{1} = 14h \)

Next, multiply \( \frac{7}{4} \) by \( 3 \):
\( \frac{7}{4} \times 3 = \frac{7 \times 3}{4} \)
\( = \frac{21}{4} \)

Therefore, the expanded form of \( \frac{7}{4}(8h+3) \) is:
\( 14h + \frac{21}{4} \)