You and your 2 friends want to split a square cake. You could try to cut it in three, but that is difficult. It is a lot easier to cut it in four, take one piece each, cut the remaining piece in four, take a piece each, cut the next piece in four, take a piece each, cut… and so on. Each time you get closer and closer to getting 1/3 of the full cake, but to hit exactly 1/3 you need to continue the process of cutting and dividing forever. Therefore the amount is finite but the dicimals are infinite
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