\(14:\left(4\frac{2}{3}-1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{14}{3}-\frac{14}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{14}{3}-\frac{14}{9}+\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{16}{3}-\frac{6}{9}\right)\)
\(=14:\left(\frac{16}{3}-\frac{2}{3}\right)\)
\(=14:\frac{14}{3}\)
\(=14.\frac{3}{14}=3\)