$$8\frac{3}{8}+6\frac{1}{12}; +5$$
$5,\frac{119}{8}$
$$sort(\frac{64+3}{8}+\frac{6\times 2+1}{2},5)$$
$$sort(\frac{67}{8}+\frac{6\times 2+1}{2},5)$$
$$sort(\frac{67}{8}+\frac{12+1}{2},5)$$
$$sort(\frac{67}{8}+\frac{13}{2},5)$$
$$sort(\frac{67}{8}+\frac{52}{8},5)$$
$$sort(\frac{67+52}{8},5)$$
$$sort(\frac{119}{8},5)$$
$$\frac{119}{8},5$$
$$\frac{119}{8}$$
$$5,\frac{119}{8}$$
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$\frac{119}{8},\ 5$