First we need to convert the fractions, so that they have the same denominator. A common denominator is 12. So, we mulitply 4 by 3 (because 4 X 3 = 12) and we do the same thing for 9. This makes the fraction 27/12. Now we mulitply 2/3 by 4 (because 3 X 4 = 12) and we also multiply 4 by 2 which gives us 8/12. Add 27/12 + 8/12 and you get 35/12 which can be simplified to 2 and 3/4.
