# How do you simplify (x^2+5x)/(2x)?

Oct 18, 2015

$\frac{x + 5}{2}$

#### Explanation:

In order to simplify a fraction, we need to simplify the top and the bottom. Let's start with the top, since the bottom is about as simplified as can be:

${x}^{2} + 5 x$
One commonality between these two terms in the expression is the x variable, which we can take out:
$x \left(x + 5\right)$
From here we can determine a commonality between the top and the bottom, which we can cancel out.
$\frac{x \left(x + 5\right)}{2 x}$
$\frac{\cancel{x} \left(x + 5\right)}{\cancel{x} \left(2\right)}$

This gets us with our final answer, $\frac{x + 5}{2}$

Hope this helped!