SAT Question 2f0a43b2: Linear Equations In One Variable answer and explanation with Desmos solution

Since the number $5$ can also be written as $\frac{5}{1}$, the given equation can also be written as $\frac{x}{8}=\frac{5}{1}$. This equation is equivalent to $\frac{8}{x}=\frac{1}{5}$. Therefore, the value of $\frac{8}{x}$ is $\frac{1}{5}$.

Alternate approach: Multiplying both sides of the equation $\frac{x}{8}=5$ by $8$ yields $x=40$. Substituting $40$ for $x$ into the expression $\frac{8}{x}$ yields $\frac{8}{40}$, or $\frac{1}{5}$. Note that 1/5, .2, .20, and 0.2 are examples of ways to enter a correct answer.