\( \Large \frac{0.04}{0.03} \ of \ \frac{ \left( 3\frac{1}{3} - 2\frac{1}{2}\right) \div \frac{1}{2} \ of \ 1\frac{1}{4} }{\frac{1}{3} + \frac{1}{5} \ of \ \frac{1}{9} } \)

Given expression

= \(  \Large  \frac{0.04}{0.03} of \frac{ \left(3\frac{1}{3} - 2\frac{1}{2}\right) \div \frac{1}{2} of 1\frac{1}{4} }{\frac{1}{3} + \frac{1}{5} of \frac{1}{9}} \)

= \(  \Large \frac{4}{3} \times \frac{ \left(\frac{10}{3} - \frac{5}{2}\right) \div \frac{1}{2} of \frac{5}{4} }{\frac{1}{3} + \frac{1}{45}} \)

= \(  \Large \frac{4}{3} \times \frac{ \left(\frac{20 - 15}{6}\right) \div \frac{5}{8} }{ \left(\frac{15 + 1}{45}\right) } \)

= \( \Large  \frac{4}{3} \times \frac{\frac{5}{6} \times \frac{8}{5}}{\frac{16}{45}} = \frac{4}{3} \times \frac{5}{6} \times \frac{8}{5} \times \frac{45}{16} = 5 \)