$$11 \frac{ 2 }{ 5 } OF \frac{ 4 }{ 9 } \div \frac{ 6 }{ 45 } -5$$
$38FO-5$
$$\frac{\frac{55+2}{5}OF\times \frac{4}{9}}{\frac{6}{45}}-5$$
$$\frac{\frac{57}{5}OF\times \frac{4}{9}}{\frac{6}{45}}-5$$
$$\frac{\frac{57\times 4}{5\times 9}OF}{\frac{6}{45}}-5$$
$$\frac{\frac{228}{45}OF}{\frac{6}{45}}-5$$
$$\frac{\frac{76}{15}OF}{\frac{6}{45}}-5$$
$$\frac{\frac{76}{15}OF}{\frac{2}{15}}-5$$
$$\frac{\frac{76}{15}OF\times 15}{2}-5$$
$$\frac{76OF}{2}-5$$
$$38OF-5$$
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