For most circumstances:
13mm ~= 1/2" or 12.70mm
10mm ~= 3/8" or 9.53mm
8mm ~= 5/16" or 7.94mm
6mm ~= 1/4" or 6.35mm
4mm ~= 5/32" or 3.97mm
For ID the above can be used quite interchangeably and freely for most things, especially for barb style fittings. The only time where it may become an issue is where the OD is of critical importance for certain push-fit fittings. eg. where 3/8" OD won't seal well in a 10mm OD push-fitting, or 1/4" OD won't fit inside the collet of a 6mm push-fitting.
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