$$(\frac{1}{32}+\frac{13}{10})+(\frac{1}{2}+\frac{7}{10})$$
$\frac{81}{32}=2.53125$
$$\frac{5}{160}+\frac{208}{160}+\frac{1}{2}+\frac{7}{10}$$
$$\frac{5+208}{160}+\frac{1}{2}+\frac{7}{10}$$
$$\frac{213}{160}+\frac{1}{2}+\frac{7}{10}$$
$$\frac{213}{160}+\frac{80}{160}+\frac{7}{10}$$
$$\frac{213+80}{160}+\frac{7}{10}$$
$$\frac{293}{160}+\frac{7}{10}$$
$$\frac{293}{160}+\frac{112}{160}$$
$$\frac{293+112}{160}$$
$$\frac{405}{160}$$
$$\frac{81}{32}$$
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$\frac{3 ^ {4}}{2 ^ {5}} = 2\frac{17}{32} = 2.53125$
