$$\frac { 4 } { 3 } \div [ \frac { 3 } { 4 } \times \{ \frac { 5 } { 4 } - ( \frac { 2 } { 3 } - \frac { 1 } { 6 } ) \} ]$$
$\frac{64}{27}\approx 2.37037037$
$$\frac{\frac{4}{3}}{\frac{3}{4}\left(\frac{5}{4}-\left(\frac{4}{6}-\frac{1}{6}\right)\right)}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\left(\frac{5}{4}-\frac{4-1}{6}\right)}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\left(\frac{5}{4}-\frac{3}{6}\right)}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\left(\frac{5}{4}-\frac{1}{2}\right)}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\left(\frac{5}{4}-\frac{2}{4}\right)}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\times \frac{5-2}{4}}$$
$$\frac{\frac{4}{3}}{\frac{3}{4}\times \frac{3}{4}}$$
$$\frac{\frac{4}{3}}{\frac{3\times 3}{4\times 4}}$$
$$\frac{\frac{4}{3}}{\frac{9}{16}}$$
$$\frac{4}{3}\times \frac{16}{9}$$
$$\frac{4\times 16}{3\times 9}$$
$$\frac{64}{27}$$
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$\frac{2 ^ {6}}{3 ^ {3}} = 2\frac{10}{27} = 2.3703703703703702$
