$$3\frac{4}{7}+2\frac{3}{7}$$
$6$
$$\frac{21+4}{7}+\frac{2\times 7+3}{7}$$
$$\frac{25}{7}+\frac{2\times 7+3}{7}$$
$$\frac{25}{7}+\frac{14+3}{7}$$
$$\frac{25}{7}+\frac{17}{7}$$
$$\frac{25+17}{7}$$
$$\frac{42}{7}$$
$$6$$
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$2\times 3$