[tex]( \frac{5}{8} + \frac{1}{2} \div \frac{1}{3} - \frac{2}{5} ) \times \frac{8}{9} = ( \frac{5}{8} + \frac{1}{2} \times \frac{3}{1} - \frac{2}{5} ) \times \frac{8}{9} = ( \frac{5}{8} + \frac{3}{2} - \frac{2}{5} ) \times \frac{8}{9} = ( \frac{25}{40} + \frac{60}{40} - \frac{16}{40} ) \times \frac{8}{9} = \frac{25 + 60 - 16}{40} \times \frac{8}{9} = \frac{69}{40} \times \frac{8}{9} = \frac{23 }{5 \times 3} = \frac{23}{15} [/tex]
