1) Convert the mixed number 8 and 2/13 into a fraction:
8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13
2) Calculate 4/5 of 106 / 13
(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65
That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white
3) Calculate the rest
(1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue