Place the frangipani in a large pot with a mixture of half potting soil and half inorganic material such as sand or gravel.
Put the frangipani plant in an area where it will receive full sun in the afternoons. Frangipani plants need at least six hours of full sun per day.
Water the frangipani when the soil dries out completely. At this point you can water the plant to saturation. Do not water the frangipani at all during the colder winter months.
Use organic fertilizer rich in nitrogen every six months. Add to the water during the summer or simply add the fertilizer directly to the soil during the winter.
Transplant the frangipani by carefully removing the entire plant, root system and all, from the pot. This is best done during winter months when the leaves are gone. Place the transplant into another pot filled with fresh potting soil and inorganic material or into a hole that you dug into the ground that's large enough to hold the entire root system. If the roots have grown out of the bottom of the pot, carefully untangle them before pulling the plant out of the pot. Water immediately upon placing in the ground or new pot.