$$4\frac{1}{6}+2\frac{1}{3}$$
$\frac{13}{2}=6.5$
$$\frac{24+1}{6}+\frac{2\times 3+1}{3}$$
$$\frac{25}{6}+\frac{2\times 3+1}{3}$$
$$\frac{25}{6}+\frac{6+1}{3}$$
$$\frac{25}{6}+\frac{7}{3}$$
$$\frac{25}{6}+\frac{14}{6}$$
$$\frac{25+14}{6}$$
$$\frac{39}{6}$$
$$\frac{13}{2}$$
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$\frac{13}{2} = 6\frac{1}{2} = 6.5$
