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Is there a simple way to transform 1.1 to 11/10?



The obvious

    In[1]:= x=1.1`Infinity

is not syntactically correct.

I understand that SetPrecision[1.1,Infinity] does not work either:

    In[3]:= SetPrecision[1.1,Infinity]

            2476979795053773
    Out[3]= ----------------
            2251799813685248

    In[4]:= N[%,20]

    Out[4]= 1.1000000000000000888

I searched the newsgroup and thought I had the solution with Rationalize:

    In[5]:= Rationalize[1.1,0]

            11
    Out[5]= --
            10

But

    In[9]:= Rationalize[1.000000001,0]

            999999918
    Out[9]= ---------
            999999917

    In[10]:= N[%,20]

    Out[10]= 1.0000000010000000830

So any simple way?

Thanks,
Alain


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