$$2\frac{1}{7}+1\frac{2}{7}$$
$\frac{24}{7}\approx 3.428571429$
$$\frac{14+1}{7}+\frac{1\times 7+2}{7}$$
$$\frac{15}{7}+\frac{1\times 7+2}{7}$$
$$\frac{15}{7}+\frac{7+2}{7}$$
$$\frac{15}{7}+\frac{9}{7}$$
$$\frac{15+9}{7}$$
$$\frac{24}{7}$$
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$\frac{2 ^ {3} \cdot 3}{7} = 3\frac{3}{7} = 3.4285714285714284$