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Look at this series: 2, 1, (1/2), (1/4), what number should come next?

1/3
1/8
2/8
1/16
Explanation:
1/2 in 2 = 1
1/2 in 1 = 1/2
1/2 in 1/2 = 1/4
1/2 in 1/4 = 1/8
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