Question 3 4 Find the least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$. (A) $x$ (B) $3 x^{2}$ (C) $x^{2}$ (D) $3 x$

Step 1 ：The least common denominator (LCD) is the least common multiple (LCM) of the denominators of the fractions. In this case, the denominators are \(x^2\) and \(x\).

Step 2 ：The LCM of \(x^2\) and \(x\) is \(x^2\).

Step 3 ：Therefore, the LCD of the given expression is \(x^2\).

Step 4 ：Final Answer: The least common denominator of \(\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}\) is \(\boxed{x^{2}}\).