In a large nonstick pan, heat 1 1/2 tablespoons of oil over medium-low heat. Let the pan heat slowly. Do not try to speed up the process by heating the pan on high heat. You can easily burn the rice cakes that way.
Working in batches, place the sweet potato cakes onto the pan. Fry one side for about 3 to 4 minutes, until they’re lightly golden before flipping the cakes over. If the cakes turn deep brown well before that time, reduce the heat slightly. Cook the other side for another 3 minutes.
Keep flipping the cakes around until the edges of the cake are no longer pale orange. They should be a rich orange color. The cakes will also puff up very slightly when they’re done cooking. For reference, I usually cook the cakes for 9 to 10 minutes total.
Transfer the cooked cakes to the plate. Add another 1/2 tablespoon of oil to the pan and cook the remaining cakes.
The cakes are best served slightly warm, the day they’re made. The cakes are a bit greasy to touch. Feel free to dab the cakes with a paper towel to absorb excess grease.
Store any leftovers in a container and refrigerate for up to 5 days. To reheat the cakes, pan-fry them on medium-low heat for 2 to 3 minutes on each side. You won’t need to grease the pan, as there should be enough oil in the cakes. You can also bake them at 375ºF (190ºC) for 7 to 8 minutes.