Question

$\frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{6}{7} \times 0.1(6)) \times \frac{7}{6}) - \frac{27}{13}$
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Answer 1

$\frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{6}{7} \times 0.1(6)) \times \frac{7}{6}) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{6}{7} \times \frac{16 - 1}{90} ) \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{6}{7} \times \frac{15}{90} ) \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{6}{7} \times \frac{1}{6} ) \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + 1 \div ( \frac{1}{7} + \frac{1}{7} ) \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + 1 \div \frac{2 }{7} \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + \frac{7}{2} \times \frac{7}{6} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{1}{3} + \frac{49}{12} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times ( \frac{4}{12} + \frac{49}{12} ) - \frac{27}{13} \\ \\ \frac{12}{13} \times \frac{53}{12} - \frac{27}{13} \\ \\ \frac{1}{13} \times \frac{53}{1} - \frac{27}{13} \\ \\ \frac{53}{13 } - \frac{27}{13} \\ \\ \frac{26}{13} = \frac{2}{1} = 2$