0,9*(1 5/9-4/9:(5/8+3/8:3))=?

0,9*(1 5/9 - 4/9:(5/8 + 3/8:3)) =  13/15

3/8:3 = 1/8
5/8+1/8=6/8=3/4
4/9:3/4=4/9*4/3= 16/27
1 5/9 - 16/27 = 1 15/27 - 16/27 = 42/27 - 16/27 =26/27
0,9*26/27 = 9/10*26/27=13/15