[quote name='Bilbo' timestamp='1388135392' post='2318731']
Mostly but sometimes it is about the bass movement (D, D/C, D/Bb etc) and sometimes it is a lot more sophisticated with polychords etc but, as a rule of thumb (and if you are trying to get a handle on the issue), the assumption that it is effectively an inversion is generally a useful starting point. This is where a knowledge of theory becomes useful as you clearly already know that the E is the major third of the C chord and, thus, the chord is inverted. If you see thirds, you will know that is what you are dealing with. For soloing, you play to the chord in front of the slash but remain aware of the root movement so you can sound hip.
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excellent answer as usual bilbo...thanks