Cet établissement est un restaurant de restauration rapide.

Wouldn’t “fast food” be a better translation then “hamburger shop”?

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By the way, most French people say fast-food right away when refering to a fast-food restaurant (otherwise the repetition of “restaurant” is a bit unpleasant). When refering to fast-foods in general, as a concept, we might use “la restauration rapide”.

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