$$3 \frac { 2 } { 9 } + 4 \frac { 7 } { 12 }$$
$\frac{281}{36}\approx 7.805555556$
$$\frac{27+2}{9}+\frac{4\times 12+7}{12}$$
$$\frac{29}{9}+\frac{4\times 12+7}{12}$$
$$\frac{29}{9}+\frac{48+7}{12}$$
$$\frac{29}{9}+\frac{55}{12}$$
$$\frac{116}{36}+\frac{165}{36}$$
$$\frac{116+165}{36}$$
$$\frac{281}{36}$$
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$\frac{281}{2 ^ {2} \cdot 3 ^ {2}} = 7\frac{29}{36} = 7.805555555555555$
