$$\frac{ 55 }{ \frac{ 21 }{ \frac{ 08 }{ \frac{ 35 }{ \frac{ 69 }{ } } } } }$$
$\frac{2024}{49}\approx 41.306122449$
$$\frac{55\times \frac{8}{\frac{35}{\frac{69}{1}}}}{21}$$
$$\frac{55\times \frac{8\times \frac{69}{1}}{35}}{21}$$
$$\frac{55\times \frac{8\times 69}{35}}{21}$$
$$\frac{55\times \frac{552}{35}}{21}$$
$$\frac{\frac{55\times 552}{35}}{21}$$
$$\frac{\frac{30360}{35}}{21}$$
$$\frac{\frac{6072}{7}}{21}$$
$$\frac{6072}{7\times 21}$$
$$\frac{6072}{147}$$
$$\frac{2024}{49}$$
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$\frac{2 ^ {3} \cdot 11 \cdot 23}{7 ^ {2}} = 41\frac{15}{49} = 41.30612244897959$
