$$11 \frac{ 2 }{ 5 } \times \frac{ 4 }{ 9 } \div \frac{ 6 }{ 45 } -5$$
$33$
$$\frac{\frac{55+2}{5}\times \frac{4}{9}}{\frac{6}{45}}-5$$
$$\frac{\frac{57}{5}\times \frac{4}{9}}{\frac{6}{45}}-5$$
$$\frac{\frac{57\times 4}{5\times 9}}{\frac{6}{45}}-5$$
$$\frac{\frac{228}{45}}{\frac{6}{45}}-5$$
$$\frac{\frac{76}{15}}{\frac{6}{45}}-5$$
$$\frac{\frac{76}{15}}{\frac{2}{15}}-5$$
$$\frac{76}{15}\times \frac{15}{2}-5$$
$$\frac{76\times 15}{15\times 2}-5$$
$$\frac{76}{2}-5$$
$$38-5$$
$$33$$
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$3\times 11$
