Expand 7/4(8h+3)

Question

.(1 point)

Answer 1

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

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

Now, calculate each term:

1. For the first term: \[ \frac{7}{4} \cdot 8h = \frac{7 \cdot 8h}{4} = \frac{56h}{4} = 14h \]

2. For the second term: \[ \frac{7}{4} \cdot 3 = \frac{21}{4} \]

Combining both results, we get: \[ 14h + \frac{21}{4} \]

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