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

1 Answer
Oct 18, 2015

#(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!