(2 1\2)в квадрате *8/15-5/9

Решите задачу:

$(2 \frac{1}{2} )^{2} \times \frac{8}{15} - \frac{5}{9} = \\ 2 \frac{1}{2} \times 2 \frac{1}{2} = \frac{5}{2} \times \frac{5}{2} = \frac{25}{4} \\ \frac{}{?}$
$\frac{25}{4} \times \frac{8}{15} = \frac{2 \times 5}{3} = \frac{10}{3} = 3 \frac{1}{3} \\ 3 \frac{1}{3} - \frac{5}{9} = 3 \frac{3}{9} - \frac{5}{9} = 2 \frac{12}{9} - \frac{5}{9} =$
$= 2 \frac{7}{9}$