31. (a) 1/2 -> 1 -> 1 -> 1 -> ...

1/4 -> 1/2 -> 1 -> 1 -> 1 -> ...

1/8 -> 1/4 -> 1/2 ->1 -> 1 -> 1 -> ...

3/4 -> 1/2 -> 1 -> 1 -> 1 -> ...

(b) 1/3 -> 2/3 -> 1/3 -> 2/3 -> ...

(c) 1/5 -> 2/5 -> 4/5 -> 3/5 -> 1/5 -> 2/5 -> ...

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