Answer:
Identical twins are two children born of one egg and one sperm, that splits early on and then separates, each half then developing into a full organism. Since they came from only one egg and one sperm, their genes will be identical.
Fraternal twins are two children born of two eggs and two sperms, each of them developing into a full organism. Since they did not come from only one egg and one sperm, their genes will be different. They could even be opposite sexes.