The expression given can be simplified as follows:

sin$\pi /4$ = √2/2
cos$\pi /4$ = √2/2
ctg$\pi /3$ = tan$\pi /3$ = √3

Therefore, the expression becomes:
$\surd 2/2$ / $\surd 2/2$ * $1/\surd 3$ = 1/√3 = √3/3

So, Sin$\pi /4$cos$\pi /4$ctg$\pi /3$ simplifies to √3/3.