Please use parentheses (especially for denominators) when interpreting fractions.
For example, the parentheses of 1/(2x) is mandatory, otherwise 1/2x means (1/2)x by the rules of PEMDAS.
Similarly for 2/3x (or 2/(3x).
From the look of it, I assume you mean the side lengths are 1/x, 1/(2x), 1/(3x). If it is the case, the solution follows:
The perimeter is the sum of the three sides.
so perimeter = 1/x+1/(2x)+1/(3x)=6/(6x)+3/(6x)+2/(6x)=11/(6x).
