[tex]0.2 = \frac{2}{10} = \frac{1}{5} [/tex]
[tex] 0.(3) = \frac{3}{9} = \frac{1}{3} [/tex]
[tex]( \frac{1}{5} + \frac{1}{3} ) \div 2 = [/tex]
[tex] = ( \frac{3}{15} + \frac{5}{15} ) \times \frac{1}{2} = \frac{8}{15} \times \frac{1}{2} = \frac{4}{15} [/tex]