Yes, you are on the right track, but it depends in part on whether your fair rental days are all of the days that the property was available to rent. You would actually consider the days the property was available to rent as well as the days it was actually rented.
For example, suppose you placed the rental property in service on July 1st, but it did not rent until August 1st. It was still considered a rental property starting in July even though it was not rented until August, so your expenses would be prorated 50/50 in this example -- 50% personal and 50% rental.
You would enter the personal portion of the property tax on Schedule A Itemized Deductions. But, the personal portion of insurance and HOA expense is not deductible.
@dpa500
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