#### Answer

$\frac{x+1}{2}$

#### Work Step by Step

We start with the given fraction: $\frac{x^2+x}{2x}$
Next, we find a common factor that is in both the numerator and the denominator, and factor it out: $\frac{x(x+1)}{2(x)}$
When you divide any number by itself, you get $1$. Therefore, we can cancel out the common factor. This leaves us with $\frac{x+1}{2}$.