We fix any pair $(mathbf{mathscr{C}},mathbf{W})$ consisting of a bicategory and a class of morphisms in it, admitting a bicalculus of fractions, i.e. a localization of $mathbf{mathscr{C}}$ with respect to the class $mathbf{W}$. In the resulting bicategory of fractions, we identify necessary and sufficient conditions for the existence of weak fiber products.
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