That happens to me too when I try to decrease my carb intake-- I end up increasing the fat. I personally haven't had any problem with it so far, because it's been the "good" fats (poly- and monounsaturated) that have been increasing, not the "bad" ones (saturated and trans fats).
I use about.com's Calorie Count to track my calories, and it gives a range of acceptable carb/protein/fat amounts based on your calorie intake, so you might want to check something like that out to see if your fat intake is within a good range. All fat isn't necessarily bad, though, so maybe try it out for a few weeks and see what results you get.
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