Question

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

Answer 1

`(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 + 5x`
One commonality between these two terms in the expression is the x variable, which we can take out:
`x(x+5)`
From here we can determine a commonality between the top and the bottom, which we can cancel out.
`(x(x+5))/(2x)`
`(cancel(x)(x+5))/(cancel(x)(2))`

This gets us with our final answer, `(x+5)/2`

Hope this helped!