ANSWER
53/8
EXPLANATION
Given:
[tex]\frac{4}{3}\div\frac{2}{9}+\frac{5}{8}[/tex]Simplify the expression
[tex]\begin{gathered} \text{ = }\frac{4}{3}\times\frac{9}{2}+\frac{5}{8} \\ \text{ = }\frac{6}{1}+\frac{5}{8} \\ \text{ = }\frac{8(6)\text{ + 5}}{8} \\ \text{ = }\frac{53}{8}\text{ = 6}\frac{5}{8} \end{gathered}[/tex]Hence, the answer is 53/8.