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Step 1
Place the yeast and sugar in a small bowl. Add the lukewarm water. Stir gently to mix. Allow to sit for 5 minutes, until it becomes foamy.
Step 2
In a mixer fitted with a dough hook, add the flour, olive oil, and salt. Add the yeast-water mixture and mix on low until dough comes together. Raise the mixer speed to medium and mix for 3 to 5 minutes. If dough seems too dry, add water 1 tablespoon at a time, taking care not to add too much water. If it feels too loose and wet, add 1 additional Tbsp flour. The dough should be firm, slightly shiny, and bounce back slightly when you touch it.
Step 3
Allow dough to rise in a greased bowl for 2 hours with a towel draped on top or covered in plastic wrap. (Note – you can do a slower rise overnight in the fridge).
Step 4
Preheat oven to 500°F and place the pizza stone on the top rack of oven to heat. Leave pizza stone in heated oven for at least 30 minutes. (Note: please check your pizza stone’s maximum temperature. Some pizza stones can only withstand a 400-degree oven).
Step 5
Divide the dough into 6 to 8 even pieces (use a food scale to measure most precisely).
Step 6
Roll each piece into a smooth ball and place on a baking sheet lined with parchment paper or silicone baking mat. Drape a towel over the baking sheet and allow to sit for another 30 minutes.
Step 7
Roll out each piece of dough into a flat, round disc around 3 inches wide and ½ inch thick, using a rolling pin. Keep remaining balls of dough covered while you are working.
Step 8
In batches of one or two, place flattened disc on pizza stone at back of oven. Watching closely, bake for 3 minutes or until pita has puffed up. Flip onto other side and bake for another 30 to 60 seconds.
Step 9
Using metal tongs, remove pita from oven and wrap immediately in a towel. Repeat with remaining dough until all the pitas have baked. Keep pita wrapped in a towel until it has completely cooled. If you place still-warm pita in a plastic bag or container, condensation will form and the bread will get soggy.