Special fractions generator

Question

Note that

  13/33, 1313 / 3333 , 131313 / 333333, ...

They are always equivalent fractions

Fraciones generate desire to have this property based arbitrary numbers provided by my

something like

frac[N, D]

Edit

Are you looking for this? http://mathematica.stackexchange.com/questions/33030/force-mathematica-not-to-reduce-a-fraction — billc, Sep 01 '15 at 19:01
Regarding the error shown in your screen copy, it's a known problem of the syntax checker not recognizing this variant of Fold. Don't worry. — Dr. belisarius, Sep 01 '15 at 20:16
Welcome to Mathematica.SE! I suggest the following: 0) Browse the common pitfalls question 1) As you receive help, try to give it too, by answering questions in your area of expertise. 2) Read the [faq]! 3) When you see good questions and answers, vote them up by clicking the gray triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge. Also, please remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign! — Dr. belisarius, Sep 01 '15 at 20:17

score 3 · Accepted Answer · answered Sep 01 '15 at 19:15

frac[n_Integer, d_Integer, s_Integer] := 
    Module[{m = 10^(Length@IntegerDigits@Max[d, n])},
          FoldList[Plus, Array[{n, d} m^# &, s, 0]]]

frac[33, 11, 5]

(*
 {{33, 11}, {3333, 1111}, {333333, 111111}, {33333333, 11111111}, 
  {3333333333, 1111111111}}
*)

Special fractions generator

1 Answers1