$$1\frac{2}{9}\times\frac{18}{55}+\frac{1}{3}=$$
$\frac{11}{15}\approx 0.733333333$
$$\frac{9+2}{9}\times \frac{18}{55}+\frac{1}{3}$$
$$\frac{11}{9}\times \frac{18}{55}+\frac{1}{3}$$
$$\frac{11\times 18}{9\times 55}+\frac{1}{3}$$
$$\frac{198}{495}+\frac{1}{3}$$
$$\frac{2}{5}+\frac{1}{3}$$
$$\frac{6}{15}+\frac{5}{15}$$
$$\frac{6+5}{15}$$
$$\frac{11}{15}$$
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$\frac{11}{3 \cdot 5} = 0.7333333333333333$
