$$( 1 / 2 ) ^ { 6 } + ( \frac { 1 } { 5 } ) ^ { 3 } + ( \frac { 2 } { 3 } ) ^ { 2 }$$
$\frac{33701}{72000}\approx 0.468069444$
$$\frac{1}{64}+\left(\frac{1}{5}\right)^{3}+\left(\frac{2}{3}\right)^{2}$$
$$\frac{1}{64}+\frac{1}{125}+\left(\frac{2}{3}\right)^{2}$$
$$\frac{125}{8000}+\frac{64}{8000}+\left(\frac{2}{3}\right)^{2}$$
$$\frac{125+64}{8000}+\left(\frac{2}{3}\right)^{2}$$
$$\frac{189}{8000}+\left(\frac{2}{3}\right)^{2}$$
$$\frac{189}{8000}+\frac{4}{9}$$
$$\frac{1701}{72000}+\frac{32000}{72000}$$
$$\frac{1701+32000}{72000}$$
$$\frac{33701}{72000}$$
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$\frac{67 \cdot 503}{2 ^ {6} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 0.4680694444444444$