Begin by selecting ripe plantains. They should have a yellow skin with some black spots, indicating that they are fully ripe and ready to be used in this recipe. Peel the plantains and cut them into diagonal slices, approximately 1/2 inch thick.

Heat vegetable oil in a deep skillet or frying pan over medium heat. Once the oil is hot, carefully place the plantain slices into the pan, making sure not to overcrowd them. Fry the plantains until they turn golden brown on both sides, usually taking about 3-4 minutes per side. Remove the fried plantains from the pan and place them on a paper towel-lined plate to absorb any excess oil.

Preheat your oven to 350°F (175°C). Take a baking dish or oven-safe platter and arrange a layer of fried plantains on the bottom. Sprinkle a generous amount of grated cheese over the plantains, ensuring each slice is adequately covered. Repeat the process, creating layers of plantains and cheese until you have used up all the ingredients. Finish with a final layer of cheese on top.

Place the baking dish in the preheated oven and bake for approximately 10-15 minutes, or until the cheese has melted and turned golden brown. Keep an eye on it to avoid overcooking. Once done, remove the dish from the oven and let it cool slightly.

Garnish the Tajadas con Queso with a dollop of sour cream or crema fresca, if desired, and a sprinkle of salt to enhance the flavors. The contrast between the sweet, caramelized plantains and the creamy, slightly salty cheese is simply irresistible.