a) $\frac{-6}{25}$ + |-$\frac{4}{5}$|- |$\frac{2}{25}$|
= $\frac{-6}{25}$ + $\frac{4}{5}$ - $\frac{2}{25}$
= $\frac{-6}{25}$ + $\frac{20}{25}$ - $\frac{2}{25}$
= $\frac{-6+20-2}{25}$ = $\frac{12}{25}$
b) $\frac{5}{9}$ - |-$\frac{3}{5}$| + |$\frac{4}{9}$| + |$\frac{8}{5}$|
= $\frac{5}{9}$ - $\frac{3}{5}$ + $\frac{4}{9}$ + $\frac{8}{5}$
= ($\frac{5}{9}$ + $\frac{4}{9}$) + ($\frac{8}{5}$ - $\frac{3}{5}$)
= 1 + 1 = 2