Question 8
Each of the numbers $1,2,3,4,5,6,7,8,9$ is to be placed into a different square exactly once in the expression below. $$\square+\frac1{\square+\frac1\square}+\square+\frac1{\square+\frac1\square}+\square+\frac1{\square+\frac1\square}.$$ What is the maximum value of this expression?