So firstly, we have to find the LCD, or lowest common denominator, of 9 and 7. To do this, list the multiples of 9 and 7 and the lowest multiple they share is going to be your LCD. In this case, the LCD of 9 and 7 is 63. Multiply x^2/9 by 7/7 and 2y/7 by 9/9:
![(x^2)/(9)* (7)/(7)=(7x^2)/(63)\\\\(2y)/(7)* (9)/(9)=(18y)/(63)\\\\(7x^2)/(63)+(18y)/(63)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/dvbbsah1xbc6qnu9qw17lohzm7xzxcnpn8.png)
Next, add the numerators together, and your answer will be:
![(7x^2)/(63)+(18y)/(63)=(7x^2+18y)/(63)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/82hmzmcn5xudjt4ufmtahu33g4kttv3pae.png)