In a large mixing bowl, combine the flour, salt, sugar, and instant yeast.
Add the warm water and olive oil to the bowl, and mix everything together until a shaggy dough forms.
Knead the dough on a floured surface for about 5 minutes until it becomes smooth and elastic.
Place the dough in a clean, oiled bowl, cover it with a damp cloth, and let it rise for about an hour until it has doubled in size.
Preheat your oven to 475°F (245°C).
Divide the dough into 8 equal parts and roll each one out into a flat circle about 1/4 inch thick.
Place the pita bread rounds on a baking sheet and bake them in the preheated oven for 5-7 minutes until they have puffed up and turned golden brown.
Remove the pita bread from the oven and let them cool on a wire rack.