\(\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\\ =\frac{\frac{7-6}{9}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\\ =\frac{\frac{1}{9}}{\frac{1}{3}+\left(\frac{2}{5}\times \frac{5}{4}\right)}\\ =\frac{\frac{1}{9}}{\frac{1}{3}+\frac{1}{2}}\ =\frac{\frac{1}{9}}{\frac{2+3}{6}}\\ =\frac{\frac{1}{9}}{\frac{5}{6}}\\ =\frac{1}{9}\times\frac{6}{5}\\ =\frac{2}{15}\)