Answer
$\dfrac{5x-2}{3x+1}$
Work Step by Step
Given: $\dfrac{5-\dfrac{2}{x}}{3+\dfrac{1}{x}}$
Let us consider the numerator expression $5-\dfrac{2}{x}=\dfrac{5x-2}{x}$ ...(1)
Now, we will consider the denominator expression. $3+\dfrac{1}{x}=\dfrac{3x+1}{x}$ ...(2)
Divide equation (1) by (2).
Hence, $\dfrac{5-\dfrac{2}{x}}{3+\dfrac{1}{x}}=\dfrac{5x-2}{3x+1}$
