Dear Amey,
If f = (a/b) + d^-2 then we can't find dimensions of a or b individually. but only that of (a/b) which would be MLT^-2. Even if f = a/(b + (d^-2)), still individual dimensions can't be found. So please check the question. Either the question is trying to ask something else or equation is different.
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Gokul Joshi