$$\frac{1}{3}+[\frac{1}{4}+\frac{1}{5}]$$
$\frac{47}{60}\approx 0.783333333$
$$\frac{4}{12}+\frac{3}{12}+\frac{1}{5}$$
$$\frac{4+3}{12}+\frac{1}{5}$$
$$\frac{7}{12}+\frac{1}{5}$$
$$\frac{35}{60}+\frac{12}{60}$$
$$\frac{35+12}{60}$$
$$\frac{47}{60}$$
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$\frac{47}{2 ^ {2} \cdot 3 \cdot 5} = 0.7833333333333333$