In a small bowl, combine the lukewarm water, sugar, and yeast. Let it stand for 10 minutes, until foamy.
In a large bowl, mix together the flour and salt. Add the yeast mixture and olive oil.
Knead into a smooth, elastic dough. Cover and let rise for 1 hour, or until doubled in size.
Divide the dough into equal portions and shape them into flat, round discs.
Let the pita breads rest for another 20 minutes. Meanwhile, preheat the oven to 480°F (250°C) and place a baking sheet on the lower rack of the oven to heat up thoroughly.
Place the pita breads on the hot baking sheet and bake for 5-7 minutes, until they puff up and turn golden brown.
Remove from the oven and let them cool slightly on a wire rack. Serve fresh, or fill with your favorite ingredients.
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