/ ˌeks ˈgreɪʃə; NAmE / adjective
(from Latin ) given or done as a gift or favour, not because there is a legal duty to do it :
ex gratia payments
► ex gra·tia adverb :
The sum was paid ex gratia.
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WORD ORIGIN
Latin , literally from favour , from ex from and gratia , from gratus pleasing, thankful.