How do you combine #(3x) / 10 + (9x) / 10#?

1 Answer
Jun 20, 2018

#(6x)/5#

Here's how I did it:

Explanation:

#(3x)/10 + (9x)/10#

Since both expressions contain the same denominator, that means we can combine the two expressions into one fraction:
#(3x+9x)/10#

Since #3x# and #9x# are like terms, that means we can also combine/add them:
#(12x)/10#

We can still simplify this by dividing both numerator and denominator by their greatest common factor (GCF), which is #2#:
#(12x)/10 color(blue)(-: 2/2)#

Therefore, the answer is:
#(6x)/5#

Hope this helps!