8 5/9 - 1 1/15х = 3 16/45
1 1/15х = 8 5/9 - 3 16/45 = 8 25/45 - 3 16/45 = 5 9/45 = 5 1/5
х = 5 1/5 : 1 1/15 = 26/5 : 16/15 = 26/5 * 15/16 = (13*3)/(1*8) = 39/8 = 4 7/8
х = 4 7/8
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Проверка: 8 5/9 - 1 1/15 * 4 7/8 = 3 16/45
8 5/9 - 16/15 * 39/8 = 3 16/45
8 5/9 - 78/15 = 3 16/45
8 5/9 - 5 3/15 = 3 16/45
8 25/45 - 5 9/45 = 3 16/45
3 16/45 = 3 16/45
Ответ: 4 целых 7/8 - корень уравнения.