Expand 7/4 ( 8 h + 3 )

Question

.(1 point)

Answer 1

To expand the expression \( \frac{7}{4} (8h + 3) \), 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 results: \[ \frac{7}{4} (8h + 3) = 14h + \frac{21}{4} \]

So, the expanded form is: \[ 14h + \frac{21}{4} \]