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:

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

Now, calculate each term:

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

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

Now, combine both results:

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

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

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