2целых 2/3 : 1 целая 7/9=1/5: (x-0,6)

2 2/3 : 1 7/9 = 1/5 : (х - 0,6)
8/3 : 16/9 = 1/5 : (х - 0,6)
8/3 * 9/16 = 1/5 : (х - 0,6)
3/2 = 1/5 : (х - 0,6)
х - 0,6 = 1/5 : 3/2
х - 6/10 = 1/5 * 2/3
х - 3/5 = 2/15
х = 2/15 + 3/5 = 2/15 + 9/15 = 11/15
х = 11/15


2 2/3 : 1 7/9 = 1/5 : (х - 0,6) - это пропорция
8/3 * (х - 0,6) = 16/9 * 1/5 - свойство пропорции
8/3х - 8/3 * 3/5 = 16/45
8/3х - 8/5 = 16/45
8/3х = 16/45 + 8/5 = 16/45 + 72/45 = 88/45
8/3х = 88/45
х = 88/45 : 8/3 = 88/45 * 3/8 = (11*1)/(15*1) = 11/15
х = 11/15