Question

3⅔-[4+{2½-(2 of 1⅓/1⅛+1)}]

Answer 1

Step-by-step explanation:

$= \frac{11}{3} - (4 + ( \frac{5}{2} (2 \: of \: \frac{\frac{4}{3}} {\frac{9}{8}} + 1)))\\ \\= \frac{11}{3} - (4 + ( \frac{5}{2} (2 \times \frac{32} {27} + 1))) \\ \\ = \frac{11}{3} - (4 + ( \frac{5}{2} ( \frac{64}{27} + 1))) \\ \\ = \frac{11}{3} - (4 + ( \frac{5}{2} ( \frac{64+ 27}{27} ))) \\ \\ = \frac{11}{3} - (4 + ( \frac{5}{2} ( \frac{91}{27} ))) \\ \\ = \frac{11}{3} - (4 + ( \frac{5}{2} \times \frac{91}{27} )) \\ \\ = \frac{11}{3} - (4 + ( \frac{455}{54} )) \\ \\= \frac{11}{3} - (4 + \frac{455}{54} ) \\ \\=\frac{11}{3} - ( \frac{ 216+455}{54} ) \\ \\= \frac{11}{3} - ( \frac{671}{54} ) \\ \\ = \frac{11}{3} - \frac{671}{54} \\ \\ = \frac{198 - 671}{54} \\ \\ = \frac{-443}{54}$