This is half of the problem we are facing. You have only seen half of the problem.
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GrammarholicThis is half of the problem we are facing.You have only seen half of the problem.Thank you very much for your help.
AnonymousThis is (the) half of the problem we are facing.I don't agree that "the" is wrong here. It would depend on context, but I find it easier to think of a context for the version with the article than the version without.