Verified answer

1,(7) = 1 целая 7/9 = 16/9

16/9 · х - 1 = 0

16/9 · х = 1

х = 1 : 16/9

х = 1 · 9/16

х = 9/16

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Проверка: 1,(7) · 9/16 - 1 = 0

                  16/9 · 9/16 - 1 = 0

                  1 - 1 = 0 - верно