$$( \frac { 9 } { 2 } \cdot \frac { 8 } { 3 } - \frac { 3 } { 10 } ) \div \frac { 4 } { 5 }$$
$\frac{117}{8}=14.625$
$$\frac{\frac{9\times 8}{2\times 3}-\frac{3}{10}}{\frac{4}{5}}$$
$$\frac{\frac{72}{6}-\frac{3}{10}}{\frac{4}{5}}$$
$$\frac{12-\frac{3}{10}}{\frac{4}{5}}$$
$$\frac{\frac{120}{10}-\frac{3}{10}}{\frac{4}{5}}$$
$$\frac{\frac{120-3}{10}}{\frac{4}{5}}$$
$$\frac{\frac{117}{10}}{\frac{4}{5}}$$
$$\frac{117}{10}\times \frac{5}{4}$$
$$\frac{117\times 5}{10\times 4}$$
$$\frac{585}{40}$$
$$\frac{117}{8}$$
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$\frac{3 ^ {2} \cdot 13}{2 ^ {3}} = 14\frac{5}{8} = 14.625$