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[tex]( \frac{1}{3} + \frac{5}{6} ) \times 12 = ( \frac{2}{6} + \frac{5}{6} ) \times 12 = \\ \frac{7}{6} \times 12 = 7 \times 2 = 14[/tex]

[tex]( \frac{5}{34} - \frac{41}{51} ) \div \frac{67}{51} = \frac{15 - 82}{102} \div \frac{67}{51} = \\ - \frac{67 \times 51}{102 \times 67} = - \frac{1}{2} = - 0.5[/tex]

[tex]31 \frac{1}{2} \div 2 \frac{1}{31} - ( - 13) {}^{2} = \frac{63 \times 31}{2 \times 63} - 169 = \\ \frac{31}{2} - 169 = 15. 5 - 169 = - 153.5[/tex]

[tex](0.08 + 0.992) \div (5 \times 0.7 - 1.5) \div 0.1 = \\ 1 \div (3.5 - 1.5) \div 0.1 = 1 \div 2 \div 0.1 = \\ 0.5 \div 0.1 = 5[/tex]