$$2 \frac { 5 } { 9 } + 1 \frac { 4 } { 9 } + 3 \frac { 7 } { 12 }$$
$\frac{91}{12}\approx 7.583333333$
$$\frac{18+5}{9}+\frac{1\times 9+4}{9}+\frac{3\times 12+7}{12}$$
$$\frac{23}{9}+\frac{1\times 9+4}{9}+\frac{3\times 12+7}{12}$$
$$\frac{23}{9}+\frac{9+4}{9}+\frac{3\times 12+7}{12}$$
$$\frac{23}{9}+\frac{13}{9}+\frac{3\times 12+7}{12}$$
$$\frac{23+13}{9}+\frac{3\times 12+7}{12}$$
$$\frac{36}{9}+\frac{3\times 12+7}{12}$$
$$4+\frac{3\times 12+7}{12}$$
$$4+\frac{36+7}{12}$$
$$4+\frac{43}{12}$$
$$\frac{48}{12}+\frac{43}{12}$$
$$\frac{48+43}{12}$$
$$\frac{91}{12}$$
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$\frac{7 \cdot 13}{2 ^ {2} \cdot 3} = 7\frac{7}{12} = 7.583333333333333$
