$$\frac{3}{4}+\frac{11}{9}(\frac{6}{11}+\frac{7}{22})$$
$\frac{65}{36}\approx 1.805555556$
$$\frac{3}{4}+\frac{11}{9}\left(\frac{12}{22}+\frac{7}{22}\right)$$
$$\frac{3}{4}+\frac{11}{9}\times \frac{12+7}{22}$$
$$\frac{3}{4}+\frac{11}{9}\times \frac{19}{22}$$
$$\frac{3}{4}+\frac{11\times 19}{9\times 22}$$
$$\frac{3}{4}+\frac{209}{198}$$
$$\frac{3}{4}+\frac{19}{18}$$
$$\frac{27}{36}+\frac{38}{36}$$
$$\frac{27+38}{36}$$
$$\frac{65}{36}$$
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$\frac{5 \cdot 13}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{29}{36} = 1.8055555555555556$
