2 целых 2/3 : 1 целая 7/9=1/5: (x-0,6)

1 способ.

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 способ.

2 2/3 : 1 7/9 = 1/5 : (х - 0,6) - это пропорция

8/3 * (х - 0,6) = 16/9 * 1/5 - свойство пропорции

8/3 х - 8/3 * 3/5 = 16/45

8/3 х - 8/5 = 16/45

8/3 х = 16/45 + 8/5 = 16/45 + 72/45 = 88/45

8/3 х = 88/45

х = 88/45 : 8/3 = 88/45 * 3/8 = (11*1) / (15*1) = 11/15

х = 11/15