What is the sum? \( \frac{3}{x}+\frac{4}{x^{2}} \)

To add the two fractions \( \frac{3}{x} \) and \( \frac{4}{x^{2}} \), you need a common denominator. The least common denominator here is \( x^{2} \). Rewriting \( \frac{3}{x} \) with this common denominator gives you: \[ \frac{3}{x} = \frac{3x}{x^{2}} \] Now, you can add: \[ \frac{3x}{x^{2}} + \frac{4}{x^{2}} = \frac{3x + 4}{x^{2}} \] So, the sum is: \[ \frac{3x + 4}{x^{2}} \]