How do you simplify (x^2+5x)/(2x)x2+5x2x?

1 Answer
Oct 18, 2015

(x+5)/2x+52

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 + 5xx2+5x
One commonality between these two terms in the expression is the x variable, which we can take out:
x(x+5)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)x(x+5)2x
(cancel(x)(x+5))/(cancel(x)(2))

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

Hope this helped!