Hi @Naomiychan,
The most important thing will be verifying the filing requirements for each state. You may or may not have to file a tax return. It will all depend on each state. These are some basic considerations when it comes to multiple state filing: Multiple States—Where To File.
I definitely don't recommend to ignore it because if you got a K-1 that means that the state got a K-1.
You may even have to consider tax reciprocity. Here's more information about that: Which states have reciprocal agreements?
If it gets too complicated for you, remember that you can contact a live expert while you are preparing your taxes for guidance. Also you can use the "do my taxes for me" and an expert will take care of it for you.
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