[tex](( \frac{1}{2} + \frac{7}{2} ) \div 2 + \frac{1}{3} ) ^{2} \div (1 - \frac{2}{9} ) = [/tex]
[tex] (\frac{8}{2} \div 2 + \frac{1}{3} )^{2} \div \frac{7}{9} = [/tex]
[tex](4 \div 2 + \frac{1}{3} )^{2} \times \frac{9}{7} = [/tex]
[tex](2 + \frac{1}{3} )^{2} \times \frac{9}{7} = [/tex]
[tex]( { \frac{7}{3} })^{2} \times \frac{9}{7} [/tex]=
[tex] \frac{ {7}^{2} }{ {3}^{2} } \times \frac{9}{7} = [/tex]
[tex] \frac{49 \times 9}{9 \times 7} = \frac{49}{7} = 7[/tex]