John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was \frac{1}{2} the number of cans that Karen collected and \frac{1}{3} the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
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A\frac{1}{5}
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B\frac{1}{3}
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C\frac{2}{5}
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D\frac{1}{2}
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E\frac{2}{3}
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正确答案: D