Is it ok to remove duplicate system PATH entries?

I have a system with many versions of SQL Server installed and I am trying to clean up the PATH (since it is so long).

I noticed I have many (nearly) duplicate entries for SQL Server, varying by only the last slash.   Is it ok to remove either the ones with the slash or the ones without the slash?   For example:

C:\Program Files (x86)\Microsoft SQL Server\100\DTS\Binn
C:\Program Files (x86)\Microsoft SQL Server\100\DTS\Binn\
C:\Program Files (x86)\Microsoft SQL Server\100\Tools\Binn
C:\Program Files (x86)\Microsoft SQL Server\100\Tools\Binn\
C:\Program Files (x86)\Microsoft SQL Server\100\Tools\Binn\VSShell\Common7\IDE
C:\Program Files (x86)\Microsoft SQL Server\100\Tools\Binn\VSShell\Common7\IDE\
C:\Program Files (x86)\Microsoft SQL Server\110\DTS\Binn
C:\Program Files (x86)\Microsoft SQL Server\110\DTS\Binn\
C:\Program Files (x86)\Microsoft SQL Server\110\Tools\Binn
C:\Program Files (x86)\Microsoft SQL Server\110\Tools\Binn\
C:\Program Files (x86)\Microsoft SQL Server\110\Tools\Binn\ManagementStudio
C:\Program Files (x86)\Microsoft SQL Server\110\Tools\Binn\ManagementStudio\
C:\Program Files (x86)\Microsoft SQL Server\120\DTS\Binn
C:\Program Files (x86)\Microsoft SQL Server\120\DTS\Binn\
C:\Program Files (x86)\Microsoft SQL Server\120\Tools\Binn
C:\Program Files (x86)\Microsoft SQL Server\120\Tools\Binn\
C:\Program Files (x86)\Microsoft SQL Server\120\Tools\Binn\ManagementStudio
C:\Program Files (x86)\Microsoft SQL Server\120\Tools\Binn\ManagementStudio\
C:\Program Files\Microsoft SQL Server\100\DTS\Binn
C:\Program Files\Microsoft SQL Server\100\DTS\Binn\
C:\Program Files\Microsoft SQL Server\100\Tools\Binn
C:\Program Files\Microsoft SQL Server\100\Tools\Binn\
C:\Program Files\Microsoft SQL Server\110\DTS\Binn
C:\Program Files\Microsoft SQL Server\110\DTS\Binn\
C:\Program Files\Microsoft SQL Server\110\Tools\Binn
C:\Program Files\Microsoft SQL Server\110\Tools\Binn\
C:\Program Files\Microsoft SQL Server\120\DTS\Binn
C:\Program Files\Microsoft SQL Server\120\DTS\Binn\
C:\Program Files\Microsoft SQL Server\120\Tools\Binn
C:\Program Files\Microsoft SQL Server\120\Tools\Binn\
C:\Program Files\Microsoft SQL Server\Client SDK\ODBC\110\Tools\Binn
C:\Program Files\Microsoft SQL Server\Client SDK\ODBC\110\Tools\Binn\

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