$$\frac{2,77(777)+5,4(444)-3,(333)}{22,222(22)}$$
$\frac{1775445}{244442}\approx 7,263256723$
$$\frac{2152,29+5,4\times 444-3\times 333}{22,222\times 22}$$
$$\frac{2152,29+2397,6-3\times 333}{22,222\times 22}$$
$$\frac{4549,89-3\times 333}{22,222\times 22}$$
$$\frac{4549,89-999}{22,222\times 22}$$
$$\frac{3550,89}{22,222\times 22}$$
$$\frac{3550,89}{488,884}$$
$$\frac{3550890}{488884}$$
$$\frac{1775445}{244442}$$
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$\frac{3 \cdot 5 \cdot 7 \cdot 37 \cdot 457}{2 \cdot 11 \cdot 41 \cdot 271} = 7\frac{64351}{244442} = 7.263256723476326$
