$$\frac{ 5 }{ 8 } \times \frac{ 12 }{ 6 } / \frac{ 2 }{ 4 }$$
$\frac{5}{2}=2.5$
$$\frac{\frac{5}{8}\times 2}{\frac{2}{4}}$$
$$\frac{\frac{5\times 2}{8}}{\frac{2}{4}}$$
$$\frac{\frac{10}{8}}{\frac{2}{4}}$$
$$\frac{\frac{5}{4}}{\frac{2}{4}}$$
$$\frac{\frac{5}{4}}{\frac{1}{2}}$$
$$\frac{5}{4}\times 2$$
$$\frac{5\times 2}{4}$$
$$\frac{10}{4}$$
$$\frac{5}{2}$$
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$\frac{5}{2} = 2\frac{1}{2} = 2.5$