Expand 7/4(8h+3)

Answer 1

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

\[ \frac{7}{4} \cdot 8h + \frac{7}{4} \cdot 3 \]

Calculating each term separately:

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

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

Now combine these results:

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

Thus, the expanded form is:

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