[tex]x = (2 - 2 \frac{3}{4} \times (2.25 \div 3.(6))) \div (1 \div 1.0(6)) \\ \\ x = (2 - \frac{2 \times 4 + 3}{4} \times ( \frac{225}{100} \div 3 \frac{6}{9} )) \div (1 \div 1 \frac{6 - 0}{90} ) \\ \\ x = (2 - \frac{11}{4} \times ( \frac{225}{100} \div \frac{3 \times 9 + 6}{9} )) \div (1 \div \frac{1 \times 90 + 6}{90} ) \\ \\ x = (2 - \frac{11}{4} \times ( \frac{225}{100} \times \frac{9}{33} )) \div (1 \times \frac{90}{96} ) \\ \\ x = (2 - \frac{11}{4} \times ( \frac{9}{4} \times \frac{3}{11} )) \times \frac{96}{90} \\ \\ x = (2 - \frac{11}{4} \times \frac{27}{44} ) \times \frac{96}{90} \\ \\ x = (2 - \frac{1}{4} \times \frac{27}{4} ) \times \frac{96}{90} \\ \\ x = (2 - \frac{27}{16} ) \times \frac{96}{90} \\ \\ x = ( \frac{32 - 27}{15} ) \times \frac{96}{90} \\ \\ x = \frac{5}{16} \times \frac{96}{90} \\ \\ x = 5 \times \frac{6}{90} \\ \\ x = \frac{6}{18} \\ \\ x = \frac{1}{3} [/tex]
