The real advantage of this notation is that it's much, much easier to stack calculations.
Example:
(/ (+ 34 68 12 9 20) 140)
You can imagine how the first part of that could come about:
(+ 34 68 12 9 20)
And then the second part (pseudocode):
(/ sum 140)
In Clojure it's easy to mash them together, or for example to paste the first calculation in the second.
(/ (+ 34 68 12 9 20) 140)
Want to go further? Easy: add another enclosing parens.
(* (/ (+ 34 68 12 9 20) 140) 1.5 2)
Note how we're stacking in a more human-readable order - a new calculation starts on the left hand side, the first thing we see as we read it.
Compare how verbose the alternative is:
((34 + 68 + 12 + 9 + 20) / 140) * 1.5 * 2