[tex](1.(3) + 0.(6) + 1) \div 3 = \\ \\ = ( \frac{13 - 1}{9} + \frac{6}{9} + 1) \div 3 = \\ \\ =( \frac{12}{9} + \frac{6}{9} + 1) \div 3 = \\ \\ =( \frac{12 + 6 + 1 \times 9}{9} ) \div 3 = \\ \\ = ( \frac{12 + 6 + 9}{9} ) \div 3 = \\ \\ = \frac{27}{9} \div 3 = \\ \\ = \frac{27}{27} = 1[/tex]
