Answer:
h=264
Step by step explanation:
As a first step let's look at how to convert mixed numbers to fractions:
[tex]a\frac{b}{c}=\frac{(a\cdot c)+b}{c}[/tex]
Solve for h:
[tex]\frac{1}{2}h=16\frac{1}{2}\cdot8[/tex]
Convert the mixed number to a fraction:
[tex]\begin{gathered} \frac{1}{2}h=\frac{(16\cdot2)+1}{2}\cdot8 \\ \frac{1}{2}h=\frac{33}{2}\cdot8 \\ \frac{1}{2}h=\frac{264}{2} \\ \frac{1}{2}h=132 \\ \end{gathered}[/tex]
Then, by inverse operations to solve equations, we can solve for h by multiplying by 2 on both sides of the equation:
[tex]\begin{gathered} 2\cdot\frac{1}{2}h=132\cdot2 \\ h=264 \end{gathered}[/tex]
