You can claim the Property Tax and Mortgage Interest deduction on the Rental Property as part of your expenses.
If the Rental Property is also your personal home, then you can allocate the Property Tax and Mortgage Interest based on the days rented if you rented the entire home for a certain number of days in the year. Or the square footage of the rental space.
However, you cannot deduct the Property Tax or Mortgage Interest of your personal home if there is no relationship to your rental property.
The following link describes deductions that can be taken on your rental property:
https://turbotax.intuit.com/tax-tips/rental-property/rental-property-deductions-you-can-take-at-tax-...
