simplify frac frac 7 9 - frac 2 3 frac 1 3 frac... - JAMB Mathematics 2006 Question

(\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})