$$\frac{11}{12}\times\frac{2}{5}-\frac{4}{7}+\frac{11}{12}\times\frac{3}{4}$$
$\frac{811}{1680}\approx 0.482738095$
$$\frac{11\times 2}{12\times 5}-\frac{4}{7}+\frac{11}{12}\times \frac{3}{4}$$
$$\frac{22}{60}-\frac{4}{7}+\frac{11}{12}\times \frac{3}{4}$$
$$\frac{11}{30}-\frac{4}{7}+\frac{11}{12}\times \frac{3}{4}$$
$$\frac{77}{210}-\frac{120}{210}+\frac{11}{12}\times \frac{3}{4}$$
$$\frac{77-120}{210}+\frac{11}{12}\times \frac{3}{4}$$
$$-\frac{43}{210}+\frac{11}{12}\times \frac{3}{4}$$
$$-\frac{43}{210}+\frac{11\times 3}{12\times 4}$$
$$-\frac{43}{210}+\frac{33}{48}$$
$$-\frac{43}{210}+\frac{11}{16}$$
$$-\frac{344}{1680}+\frac{1155}{1680}$$
$$\frac{-344+1155}{1680}$$
$$\frac{811}{1680}$$
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$\frac{811}{2 ^ {4} \cdot 3 \cdot 5 \cdot 7} = 0.48273809523809524$
