1) $\frac{-2}{3}$ + $\frac{3}{4}$ - $\frac{-1}{6}$ + $\frac{-2}{5}$
= ($\frac{-2}{3}$ - $\frac{-1}{6}$) + $\frac{3}{4}$ + $\frac{-2}{5}$
= $\frac{-1}{2}$ + $\frac{3}{4}$ + $\frac{-2}{5}$
= $\frac{1}{4}$ + $\frac{-2}{5}$
= $\frac{-3}{20}$
2) 4 - 1$\frac{2}{5}$ - $\frac{8}{3}$
= 4 - $\frac{7}{5}$ - $\frac{8}{3}$
= $\frac{13}{5}$ - $\frac{8}{3}$
= $\frac{-1}{15}$
3) $\frac{1}{2}$ + ($\frac{16}{21}$ + $\frac{27}{13}$) - ($\frac{14}{13}$ - $\frac{5}{21}$)
= $\frac{1}{2}$ + $\frac{16}{21}$ + $\frac{27}{13}$ - $\frac{14}{13}$ + $\frac{5}{21}$
= ($\frac{16}{21}$ + $\frac{5}{21}$) + ($\frac{27}{13}$ - $\frac{14}{13}$) + $\frac{1}{2}$
= 1 + 1 + $\frac{1}{2}$
= 2 + $\frac{1}{2}$
= $\frac{5}{2}$
4) ($\frac{5}{7}$ - $\frac{7}{5}$) - [$\frac{1}{2}$ - ($\frac{-2}{7}$ - $\frac{1}{10}$)]
= $\frac{-24}{35}$ - [$\frac{1}{2}$ - $\frac{-27}{70}$]
= $\frac{-24}{35}$ - $\frac{31}{35}$
= $\frac{-11}{7}$
5) (2$\frac{2}{15}$ . $\frac{9}{17}$ . $\frac{3}{32}$) : ($\frac{-3}{17}$
= $\frac{32}{15}$ . $\frac{9}{17}$ . $\frac{3}{32}$ : $\frac{-3}{17}$
= ($\frac{32}{15}$ . $\frac{3}{32}$) . ($\frac{9}{17}$ : $\frac{-3}{17}$)
= $\frac{1}{5}$ . (-3)
= $\frac{-3}{5}$
6) ($\frac{-5}{9}$) . $\frac{3}{11}$ + ($\frac{-13}{18}$) . $\frac{3}{11}$
= $\frac{3}{11}$ . ($\frac{-5}{9}$ + $\frac{-13}{18}$)
= $\frac{3}{11}$ . $\frac{-23}{18}$
= $\frac{-23}{66}$
7) $\frac{4}{9}$ : ($\frac{-1}{7}$) + 6$\frac{5}{9}$ : ($\frac{-1}{7}$)
= $\frac{-1}{7}$ : ($\frac{4}{9}$ + $\frac{59}{9}$)
= $\frac{-1}{7}$ : 7
= $\frac{-1}{49}$
9) 2³ + 3 . ($\frac{1}{2}$)^0 - 1 + [(-2)² : $\frac{1}{2}$] - 8
= 8 + 3 . 1 - 1 + [4 : $\frac{1}{2}$] - 8
= 8 + 3 . 1 - 1 + 8 - 8
= 8 + 3 - 1 + 8 - 8
= 10
