$$10 \frac { 1 } { 3 } - \frac { 1 } { 2 } + \frac { 4 } { 5 } \times \frac { 3 } { 4 } \div \frac { 3 } { 8 }$$
$\frac{343}{30}\approx 11.433333333$
$$\frac{30+1}{3}-\frac{1}{2}+\frac{\frac{4}{5}\times \frac{3}{4}}{\frac{3}{8}}$$
$$\frac{31}{3}-\frac{1}{2}+\frac{\frac{4}{5}\times \frac{3}{4}}{\frac{3}{8}}$$
$$\frac{62}{6}-\frac{3}{6}+\frac{\frac{4}{5}\times \frac{3}{4}}{\frac{3}{8}}$$
$$\frac{62-3}{6}+\frac{\frac{4}{5}\times \frac{3}{4}}{\frac{3}{8}}$$
$$\frac{59}{6}+\frac{\frac{4}{5}\times \frac{3}{4}}{\frac{3}{8}}$$
$$\frac{59}{6}+\frac{\frac{4\times 3}{5\times 4}}{\frac{3}{8}}$$
$$\frac{59}{6}+\frac{\frac{3}{5}}{\frac{3}{8}}$$
$$\frac{59}{6}+\frac{3}{5}\times \frac{8}{3}$$
$$\frac{59}{6}+\frac{3\times 8}{5\times 3}$$
$$\frac{59}{6}+\frac{8}{5}$$
$$\frac{295}{30}+\frac{48}{30}$$
$$\frac{295+48}{30}$$
$$\frac{343}{30}$$
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$\frac{7 ^ {3}}{2 \cdot 3 \cdot 5} = 11\frac{13}{30} = 11.433333333333334$
