Finely chop onion, carrot, and ham.
Heat oil in a pan and sauté the ingredients.
Add rice and season with salt, pepper, and ketchup.
Mix and fry the ingredients with the rice evenly.
Beat eggs and add a pinch of salt.
In a clean pan, heat oil and pour the beaten eggs, cooking into a thin layer.
Place the fried rice on top of the egg and wrap it with the egg.
Finish by drizzling ketchup over the completed omurice.