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

*To*: mathgroup at smc.vnet.net*Subject*: [mg92975] Re: [mg92968] Is there a simple way to transform 1.1 to 11/10?*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Wed, 22 Oct 2008 05:35:31 -0400 (EDT)*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst*References*: <200810211024.GAA04964@smc.vnet.net>*Reply-to*: murray at math.umass.edu

But Rationalize IS a correct solution: fraction = Rationalize[1.1, 0]; 10 fraction === 11 (* SameQ *) True That seems to be proof that the result of Rationalize is exactly 11/10, with no issue of rounding or precision whatsoever. Of course once you convert the result of Rationalize back to decimal, you encounter the usual limitations involving precision as well as the usual issue of decimal vs. binary. Alain Cochard wrote: > 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 > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305

**References**:**Is there a simple way to transform 1.1 to 11/10?***From:*Alain Cochard <alain@geophysik.uni-muenchen.de>