$${ \left( \frac{ 1 }{ 2 } \right) }^{ 2 } + \frac{ 1 }{ 2 } \frac{ 1 }{ 3 } + { \left( \frac{ 1 }{ 3 } \right) }^{ 2 }$$
$\frac{19}{36}\approx 0.527777778$
$$\frac{1}{4}+\frac{1}{2}\times \frac{1}{3}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{1}{4}+\frac{1\times 1}{2\times 3}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{1}{4}+\frac{1}{6}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{3}{12}+\frac{2}{12}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{3+2}{12}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{5}{12}+\left(\frac{1}{3}\right)^{2}$$
$$\frac{5}{12}+\frac{1}{9}$$
$$\frac{15}{36}+\frac{4}{36}$$
$$\frac{15+4}{36}$$
$$\frac{19}{36}$$
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$\frac{19}{2 ^ {2} \cdot 3 ^ {2}} = 0.5277777777777778$
