$$7\frac{5}{6}+3\frac{2}{7}$$
$\frac{467}{42}\approx 11.119047619$
$$\frac{42+5}{6}+\frac{3\times 7+2}{7}$$
$$\frac{47}{6}+\frac{3\times 7+2}{7}$$
$$\frac{47}{6}+\frac{21+2}{7}$$
$$\frac{47}{6}+\frac{23}{7}$$
$$\frac{329}{42}+\frac{138}{42}$$
$$\frac{329+138}{42}$$
$$\frac{467}{42}$$
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$\frac{467}{2 \cdot 3 \cdot 7} = 11\frac{5}{42} = 11.119047619047619$
