$$\frac{6}{21}+1\frac{1}{7}$$
$\frac{10}{7}\approx 1.428571429$
$$\frac{2}{7}+\frac{1\times 7+1}{7}$$
$$\frac{2}{7}+\frac{7+1}{7}$$
$$\frac{2}{7}+\frac{8}{7}$$
$$\frac{2+8}{7}$$
$$\frac{10}{7}$$
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$\frac{2 \cdot 5}{7} = 1\frac{3}{7} = 1.4285714285714286$
