Uber Technologies Inc. said it has agreed to buy Postmates Inc. for about $2.65 billion in stock, the latest in a flurry of consolidation moves in the food-delivery sector.

The combination boosts Uber Eats, the company’s food-delivery arm that already has an international footprint and is among the largest in the U.S. DoorDash has the largest share of the U.S. food-delivery market, according to research from Edison Trends.

Uber…

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