# Divisions and Parentheses

You may put as many parentheses as possible to the below equation:

$1\div 2\div 3\div 4\div 5\div 6\div 7\div 8\div 9$

What is the maximum result you can have?

Biggest I've found:

$1\div (2\div 3\div 4\div 5\div 6\div 7\div 8\div 9)$ $=$ $90720$

I believe this is also the largest

Making use of the tag:

1÷(2÷3÷4÷5÷6÷7÷8÷9 )( () ) == infinite
___________times-----^_^----zero

By (one) definition, the maximum.

I'll make use of the tag by saying

"maximum result" means maximum digits. In which case (1÷2)÷3÷(4÷5÷6÷7÷8)÷9 = 7.777777777... repeating infinitely

Since Beastly Gerbil clearly has the mathematically correct answer I'll use the tag to get 14 instead.

1÷(2÷(3÷(4÷(5÷(6÷(7÷(8÷9)))))))
The maximum number of meaningful parenthesis you can add is 14.