$$\frac { 8 } { 9 } + [ \frac { 5 } { 3 } + \{ \frac { 4 } { 39 } \times ( \frac { 3 } { 4 } + \frac { 2 } { 3 } \times \frac { 1 } { 2 } ) \} ]$$
$\frac{8}{3}\approx 2.666666667$
$$\frac{8}{9}+\frac{15}{9}+\frac{4}{39}\left(\frac{3}{4}+\frac{2}{3}\times \frac{1}{2}\right)$$
$$\frac{8+15}{9}+\frac{4}{39}\left(\frac{3}{4}+\frac{2}{3}\times \frac{1}{2}\right)$$
$$\frac{23}{9}+\frac{4}{39}\left(\frac{3}{4}+\frac{2}{3}\times \frac{1}{2}\right)$$
$$\frac{23}{9}+\frac{4}{39}\left(\frac{3}{4}+\frac{2\times 1}{3\times 2}\right)$$
$$\frac{23}{9}+\frac{4}{39}\left(\frac{3}{4}+\frac{1}{3}\right)$$
$$\frac{23}{9}+\frac{4}{39}\left(\frac{9}{12}+\frac{4}{12}\right)$$
$$\frac{23}{9}+\frac{4}{39}\times \frac{9+4}{12}$$
$$\frac{23}{9}+\frac{4}{39}\times \frac{13}{12}$$
$$\frac{23}{9}+\frac{4\times 13}{39\times 12}$$
$$\frac{23}{9}+\frac{52}{468}$$
$$\frac{23}{9}+\frac{1}{9}$$
$$\frac{23+1}{9}$$
$$\frac{24}{9}$$
$$\frac{8}{3}$$
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$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$
