I do pay 50%
Your divorce decree should identify how out of pocket medical expenses are to be divided up. Most often, one parent will incur the initial costs (co-pays, deductibles, down-payments, etc.) and will then issue proof of payment to the other parent, who then has a short period of time in which to reimburse the parent who made the initial payment.
For something as expensive as braces, most Orthodontists make payment arrangements at the beginning. Some offices are agreeable with billing each parent for his or her share, some are not. You and your ex should be communicating and working on this together.
I would recommend closely examining the Parenting Plan/Decree. That document should clearly spell out what your obligation is as to orthodontic expenses.
Read the terms of the court decree for parenting and support , which would specify when bills have to be submitted to a spouse for payment.
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