Answer
$\frac{8}{9}x-\frac{1}{8}y$
Work Step by Step
To combine like terms, add the coefficients.
$\frac{5}{9}x+\frac{1}{4}y+\frac{1}{3}x-\frac{3}{8}y=(\frac{5}{9}+\frac{1}{3})x+(\frac{1}{4}+(-\frac{3}{8})y=(\frac{5}{9}+\frac{3}{9})x+(\frac{2}{8}+(-\frac{3}{8})y=\frac{8}{9}x-\frac{1}{8}y$
