Under the current standards, isn't C a proper subset of C++, and therefore, isn't "C/C++" just a way of saying "C++" that emphasizes that that includes C?
I had thought I remembered reading somewhere that C++11 had made C++ a superset of C (I haven't used C++ in anger in quite a long time), but from further reading while it has closer aligned with C it hasn't actually subsumed it.
Modern C and modern C++ are closer to siblings now, with the parent being K&R C. Each has added features that the other has not embraced, and writing code in one like you would in the other is a recipe for pain and suffering.