$$2\frac{4}{8}+3\frac{2}{8}$$
$\frac{23}{4}=5.75$
$$\frac{16+4}{8}+\frac{3\times 8+2}{8}$$
$$\frac{20}{8}+\frac{3\times 8+2}{8}$$
$$\frac{5}{2}+\frac{3\times 8+2}{8}$$
$$\frac{5}{2}+\frac{24+2}{8}$$
$$\frac{5}{2}+\frac{26}{8}$$
$$\frac{5}{2}+\frac{13}{4}$$
$$\frac{10}{4}+\frac{13}{4}$$
$$\frac{10+13}{4}$$
$$\frac{23}{4}$$
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$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$