$$1+\frac{7}{2-\frac{1}{6}}$$
$\frac{53}{11}\approx 4.818181818$
$$1+\frac{7}{\frac{12}{6}-\frac{1}{6}}$$
$$1+\frac{7}{\frac{12-1}{6}}$$
$$1+\frac{7}{\frac{11}{6}}$$
$$1+7\times \frac{6}{11}$$
$$1+\frac{7\times 6}{11}$$
$$1+\frac{42}{11}$$
$$\frac{11}{11}+\frac{42}{11}$$
$$\frac{11+42}{11}$$
$$\frac{53}{11}$$
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$\frac{53}{11} = 4\frac{9}{11} = 4.818181818181818$
