To solve this equation, we first need to simplify the fractions on both sides:

2 3/4 = (42+3)/4 = 11/4
1 9/11 = (111+9)/11 = 20/11
5/7

Now, we divide 20/11 by 5/7:

(20/11) / (5/7)
= (20/11) (7/5)
= (207)/(11*5)
= 140/55
= 28/11

So, the simplified equation is:
(х-0.5) = 28/11

Therefore, the solution to the equation is:
x - 0.5 = 28/11
x = 28/11 + 0.5
x = (28 + 5.5) / 11
x = 33.5 / 11
x = 3