[math-fun] Huge fraction

Hello Math-Fun, I'm sorry to bother with this, but could someone compute this fraction? The result should be close to 4, I guess. (This is the sum of the first 10000 fractions of my previous "look and divide" diverging seq. The fractions are simplified immediately before computing the next term; thus the first "1" was "1/1" before simplification and the second "1/2" was "2/4"). Best, É. (there are 193 "return carriage" marks on my page and the fraction bar "/" is in yellow) http://www.cetteadressecomportecinquantesignes.com/Fraction.htm 0 1 1/2 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 3/23 3/26 3/29 3/32 3/35 3/38 3/41 3/44 3/47 3/50 3/53 3/56 3/59 3/62 3/65 3/68 3/71 3/74 3/77 3/80 3/83 3/86 3/89 3/92 3/95 3/98 3/101 4/105 ... etc.