In one example from http://leepoint.net/notes-java/data/expressions/precedence.html
The following expression
1 + 2 - 3 * 4 / 5
Is
Are you sure?
4 + (5 * 6) / 3
4 + 30 / 3
4 + 10
14
4 + 5 * (6 / 3)
4 + 5 * 2
4 + 10
14
They produce the same output because adding the parentheses don't happen to change the result. For your other equation, the parentheses actually do change the result. By removing the parentheses in the equations I solved, the correct path to the result is the first one.