1.03/1.11=q+(1-q)*0.5

Solution for 1.03/1.11=q+(1-q)*0.5 equation:

1.03/1.11=q+(1-q)*0.5

We simplify the equation to the form, which is simple to understand 
1.03/1.11=q+(1-q)*0.5

Simplifying:
 + 0.927927927928=q+(1-q)*0.5

Reorder the terms in parentheses
 + 0.927927927928=q+( + 0.5-0.5q)

Remove unnecessary parentheses
 + 0.927927927928=+q + 0.5-0.5q

We move all terms containing q to the left and all other terms to the right. 
-1q + 0.5q=0.5-0.927927927928

We simplify left and right side of the equation. 
-0.5q=-0.427927927928

We divide both sides of the equation by -0.5 to get q. 
q=0.855855855856