In a small bowl, combine the lukewarm water, sugar, and yeast. Let it stand for 10 minutes, until foamy.
In a large bowl, whisk together the flour and salt. Add the olive oil and the yeast mixture. Mix until a soft dough forms.
Knead the dough for 8-10 minutes, until it is elastic and smooth. Cover with a clean kitchen towel and let it rise in a warm place for about 1 hour, or until doubled in size.
Once the dough has risen, divide it into 8 equal portions. Shape them into balls, then roll them out on a lightly floured surface into circles about 1/4 inch thick.
Preheat a dry skillet over medium-high heat. Cook the pitas one at a time for 1-2 minutes per side, until golden brown spots appear and the dough puffs up.
As they are cooked, place them in a bowl covered with a kitchen towel to keep them soft.
Serve fresh, or use for gyros, falafel, or other Middle Eastern dishes!
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