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