To expand the expression \( \frac{7}{4}(8h + 3) \), you distribute \( \frac{7}{4} \) to both terms inside the parentheses:
\[ \frac{7}{4} \times 8h + \frac{7}{4} \times 3 \]
Calculating each term:
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For the first term: \[ \frac{7}{4} \times 8h = \frac{56h}{4} = 14h \]
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For the second term: \[ \frac{7}{4} \times 3 = \frac{21}{4} \]
Now, combine the results:
\[ 14h + \frac{21}{4} \]
So, the expanded expression is:
\[ 14h + \frac{21}{4} \]