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    I am sorry but I don't see very well your problem. When in R the input is 0.67 it is 0.67; it's not the result of an operation with large decimals. If you want you can toString(it).

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    can refer to exact the one as unique

    I don't understand what you mean and what your problem is. Note: in R there are packages which use rational...

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    Sorry, I will add something in the description for R.
    In R the input is a rational or a decimal, the output is a string.
    Examples: dotest(3/4, "1/2,1/4") or dotest(12/4, "3") or dotest(0.67, "1/2,1/6,1/300").
    Thanks for your post.

    PS: I modified the description. Is it clearer for you?