$$\frac{ 22222 }{ \frac{ 99999 }{ \frac{ 22222 }{ 77777 } } }$$
$\frac{4}{63}\approx 0.063492063$
$$\frac{22222\times \frac{22222}{77777}}{99999}$$
$$\frac{22222\times \frac{2}{7}}{99999}$$
$$\frac{\frac{22222\times 2}{7}}{99999}$$
$$\frac{\frac{44444}{7}}{99999}$$
$$\frac{44444}{7\times 99999}$$
$$\frac{44444}{699993}$$
$$\frac{4}{63}$$
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$\frac{2 ^ {2}}{3 ^ {2} \cdot 7} = 0.06349206349206349$