To solve this, we need to combine like terms.

1/5 - (-1/9) + (-5 1/3) + 5/9 - 0.2 =

1/5 + 1/9 - 16/3 + 5/9 - 0.2 =

1/5 + 1/9 - 16/3 + 5/9 - 0.2 =

1/5 + 1/9 - 48/9 + 5/9 - 0.2 =

(9/45) + (5/45) - (48/9) + (5/9) - 0.2 =

14/45 - 48/9 + 5/9 - 0.2 =

14/45 - 16/3 + 5/9 - 0.2 =

(143)/(453) - (165)/(35) + (55)/(95) - 0.2 =

42/135 - 80/15 + 25/45 - 0.2 =

42/135 - 64/15 + 25/45 - 0.2 =

(423)/(1353) - (649)/(159) + (261)/(451) =

126/405 - 576/135 + 25/45 - 0.2 =

168 - 64 + 25 - 0.2 =

225 - 64 - 0.2 =

160.8

Therefore, 1/5 - (-1/9) + (-5 1/3) + 5/9 - 0.2 = 160.8.