17. higher order thinking solve $\frac{2}{3}h - 156 = 3\frac{13}{24}$.

Explanation:

Step1: Convert mixed - number to improper fraction

$3\frac{13}{24}=\frac{3\times24 + 13}{24}=\frac{72+13}{24}=\frac{85}{24}$ The equation becomes $\frac{2}{3}h-156=\frac{85}{24}$.

Step2: Add 156 to both sides

$\frac{2}{3}h=\frac{85}{24}+156$. We know that $156=\frac{156\times24}{24}=\frac{3744}{24}$. So $\frac{2}{3}h=\frac{85 + 3744}{24}=\frac{3829}{24}$.

Step3: Solve for h

Multiply both sides by $\frac{3}{2}$ to isolate h. $h=\frac{3829}{24}\times\frac{3}{2}=\frac{3829\times3}{24\times2}=\frac{11487}{48}=\frac{3829}{16}=239\frac{5}{16}$.

Answer:

$h = 239\frac{5}{16}$