$$+ \frac{ { 2 }^{ 2 } }{ \frac{ { 3 }^{ 2 } }{ } } + \frac{ 1 }{ 3 }$$
$\frac{7}{9}\approx 0.777777778$
$$\frac{4}{\frac{3^{2}}{1}}+\frac{1}{3}$$
$$\frac{4}{\frac{9}{1}}+\frac{1}{3}$$
$$\frac{4}{9}+\frac{1}{3}$$
$$\frac{4}{9}+\frac{3}{9}$$
$$\frac{4+3}{9}$$
$$\frac{7}{9}$$
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$\frac{7}{3 ^ {2}} = 0.7777777777777778$