## Algebra 1: Common Core (15th Edition)

$\frac{x+2}{2}$ The error was that it was not possible for 2x to be divided out of both numerator and the denominator. But x is a common factor that can be divided out.
Given expression : $\frac{x^{2}+2x}{2x}$ This becomes : $\frac{x(x+2)}{2x}$ (Factoring x from the numerator) Answer : $\frac{x+2}{2}$ (Divide both the denominator and the numerator by x)