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A group of n college students bought three identical round cakes to share. They divided the first cake into equal-sized pieces, one piece for each of them. They did the same with the second cake. After 3 of the students decided they did not want any more cake, the remaining students divided the third cake into equal-sized pieces, one piece for each of them. If Silvia received 1 piece from each of the three cakes, then, in terms of n, the amount of cake that she received was the same as what fraction of 1 cake?

A.$$\frac{n+2}{n(n-3)}$$
B.$$\frac{2n-3}{n(n-3)}$$
C.$$\frac{3n-3}{n(n-3)}$$
D.$$\frac{3n-6}{n(n-3)}$$
E.$$\frac{3n-3}{2n(n-3)}$$

D显示答案

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