How do you simplify \frac { 2} { 2a } + \frac { 4a } { 6a + 12}?

1 Answer
Oct 10, 2017

(2a^2+a+2)/(a^2+2a)

Explanation:

Start by factoring every numerator and denominator:

2/(2(a))+(2(2a))/(6(a+2))

Divide away the 2’s in both fraction:

cancel(2)/(cancel(2)(a))+(cancel(2)(2a))/(cancel(2)*(3)(a+2))

So:

1/a+(2a)/(a+2)

Get a common denominator of a^2+2a

(a+2)/(a^2+2a)+(2a^2)/(a^2+2a)=(2a^2+a+2)/(a^2+2a)