$$\frac{ 2 }{ 3 } \times [ \frac{ 3 }{ 4 } + \frac{ 2 }{ 3 } + \frac{ 5 }{ 2 } ]$$
$\frac{47}{18}\approx 2.611111111$
$$\frac{2}{3}\left(\frac{9}{12}+\frac{8}{12}+\frac{5}{2}\right)$$
$$\frac{2}{3}\left(\frac{9+8}{12}+\frac{5}{2}\right)$$
$$\frac{2}{3}\left(\frac{17}{12}+\frac{5}{2}\right)$$
$$\frac{2}{3}\left(\frac{17}{12}+\frac{30}{12}\right)$$
$$\frac{2}{3}\times \frac{17+30}{12}$$
$$\frac{2}{3}\times \frac{47}{12}$$
$$\frac{2\times 47}{3\times 12}$$
$$\frac{94}{36}$$
$$\frac{47}{18}$$
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$\frac{47}{2 \cdot 3 ^ {2}} = 2\frac{11}{18} = 2.611111111111111$
