$$27 \frac{ 5 }{ 6 } \times 81- \frac{ 1 }{ 4 } \times \frac{ 1 }{ 243 }$$
$\frac{2191373}{972}\approx 2254.498971193$
$$\frac{162+5}{6}\times 81-\frac{1}{4}\times \frac{1}{243}$$
$$\frac{167}{6}\times 81-\frac{1}{4}\times \frac{1}{243}$$
$$\frac{167\times 81}{6}-\frac{1}{4}\times \frac{1}{243}$$
$$\frac{13527}{6}-\frac{1}{4}\times \frac{1}{243}$$
$$\frac{4509}{2}-\frac{1}{4}\times \frac{1}{243}$$
$$\frac{4509}{2}-\frac{1\times 1}{4\times 243}$$
$$\frac{4509}{2}-\frac{1}{972}$$
$$\frac{2191374}{972}-\frac{1}{972}$$
$$\frac{2191374-1}{972}$$
$$\frac{2191373}{972}$$
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$\frac{2191373}{2 ^ {2} \cdot 3 ^ {5}} = 2254\frac{485}{972} = 2254.498971193416$
