$$2 \frac { 3 } { 11 } + \frac { 3 } { 77 }$$
$\frac{178}{77}\approx 2.311688312$
$$\frac{22+3}{11}+\frac{3}{77}$$
$$\frac{25}{11}+\frac{3}{77}$$
$$\frac{175}{77}+\frac{3}{77}$$
$$\frac{175+3}{77}$$
$$\frac{178}{77}$$
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$\frac{2 \cdot 89}{7 \cdot 11} = 2\frac{24}{77} = 2.311688311688312$