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Tip the tomatoes, chopped onion, chillies, garlic, oregano and hot sauce into a large food processor or blender. Pulse to a fine salsa, taking care not to over blend.
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Heat 1 tbsp oil in a large, wide frying pan over a medium-high heat and add the salsa. Rinse out the food processor jug with 300ml water and add to the salsa in the pan. It will spit and bubble a little at first, so take care. Simmer for 15-20 mins until reduced by about half. Add the lime juice and season.
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Heat the remaining 2 tbsp oil in a medium nonstick frying pan over a medium-high heat. Crack in 4 eggs and fry for 2-3 mins, basting with the oil, until crisp on the bottom with set whites and soft yolks. Transfer to a plate, then repeat with the remaining eggs; cover to keep warm.
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Meanwhile, reserve a large handful of the tortillas to serve, then stir the rest into the salsa and cook for 1-2 mins until warmed through (you want some to soften and some to stay crisp). Either serve the eggs and salsa separately, with the crumbled cheese, radishes, sliced onions and avocados on the side, or pile everything on top of the salsa in the pan and set it in the middle of the table, letting everyone help themselves. Serve with the reserved tortilla chips, the coriander, lime wedges and more hot sauce, if you like.