$$( \frac { 1 } { 2 } + \frac { 1 } { 3 } ) \div ( \frac { 5 } { 8 } - \frac { 1 } { 4 } )$$
$\frac{20}{9}\approx 2.222222222$
$$\frac{\frac{3}{6}+\frac{2}{6}}{\frac{5}{8}-\frac{1}{4}}$$
$$\frac{\frac{3+2}{6}}{\frac{5}{8}-\frac{1}{4}}$$
$$\frac{\frac{5}{6}}{\frac{5}{8}-\frac{1}{4}}$$
$$\frac{\frac{5}{6}}{\frac{5}{8}-\frac{2}{8}}$$
$$\frac{\frac{5}{6}}{\frac{5-2}{8}}$$
$$\frac{\frac{5}{6}}{\frac{3}{8}}$$
$$\frac{5}{6}\times \frac{8}{3}$$
$$\frac{5\times 8}{6\times 3}$$
$$\frac{40}{18}$$
$$\frac{20}{9}$$
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$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$