Prepare the dough - pour lukewarm water at a temperature of 100-110ºF and sugar into a container. Stir well until it dissolves. Then add the yeast and stir well. Set aside for 15 minutes until the yeast becomes frothy and foams up a little.
Add the flour and stir well with a silicone spatula to form a dough. Make sure that you keep stirring the flour until there is no dry flour left. This only takes 1 to 2 minutes.
Pick up the dough and put 1 tablespoon of olive oil on the bottom of the container. After putting the dough back, pour 1 tablespoon of oil on top of the dough and spread the oil around the dough with your hands.
Let the dough rest - Leave the dough to rest in a warm place for 90 minutes or until it has risen and at least doubled in size.
After the first rise, place the dough on a floured work surface and shape it into a circle so that you can divide it into 6 equal pieces. The dough may be sticky, so you can moisten your hands with oil and dust the dough with a little flour if necessary.
Shape the 6 pieces of dough into circles. Cover it with a tea towel and let it rest for 15 minutes for the second fermentation.
After the second rise, roll each dough circle into 5-inch wide circles.
Fried the pita bread. Take the pita in your hand and carefully place it in the hot pan. When you see bubbles everywhere and the edges start to dry out (45 to 60 seconds, depending on the heat level), turn the pita bread over.
Place the pita bread on a plate. Cover it with a cloth so that it does not dry out during frying.