[tex]( \frac{2}{3} + \frac{513}{100} \times \frac{1}{9} ) \div \frac{3 \times 100 + 71}{100} - \frac{3}{9} = [/tex]
[tex]( \frac{2}{3} + \frac{513}{900} ) \div \frac{371}{100} - \frac{3}{9} = [/tex]
[tex]\frac{300 \times 2 + 513}{900} \times \frac{100}{371} - \frac{3}{9} = [/tex]
[tex] \frac{1113}{900} \times \frac{100}{371} - \frac{3}{9} = \frac{3}{9} - \frac{3}{9} = 0[/tex]