Answer
$\frac{23}{36}$
Work Step by Step
The LCD of the original denominators, 9 and 12, is 36. Therefore, we can rewrite both fractions with a denominator of 36.
$\frac{2}{9}+\frac{5}{12}=\frac{2\times4}{9\times4}+\frac{5\times3}{12\times3}=\frac{8}{36}+\frac{15}{36}=\frac{15+8}{36}=\frac{23}{36}$
