what is 7 1/6 + 4 2/3
$$7 \frac{1}{6} + 4 \frac{2}{3}\\\\ =11 \frac{1}{6} + \frac{2}{3}\\\\ =11 \frac{1}{6} + \frac{4}{6}\\\\ =11 \frac{5}{6} \\\\$$
This is my best answer.
$${\mathtt{11.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$