Limited Slip Differential 373

1990 bmw 325i limited slip differential S373
 they pinion has 11 teeth and the ring has 41 but the gear ratio should be stamped on the pinion
 cf(3.73);
 ratsimp(cfdisrep(%));
              373
 (%o20)       ---
              100
 (%i21) ratsimp(cf([3, 1, 2, 1, 2, 2, 1]));
 (%o21) [3, 1, 2, 1, 2, 3]
 (%i22) ratsimp(cfdisrep(cf([3, 1, 2, 1, 2, 2, 1])));
              138
 (%o22)       ---
              37
 (%i23) ratsimp(cfdisrep(cf([3, 1, 2, 1, 2, 2])));
              97
 (%o23)       --
              26
 (%i24) ratsimp(cfdisrep(cf([3, 1, 2, 1, 2])));
              41
 (%o24)       --
              11
 (%i25) %o22,numer;
 (%o25) 3.72972972972973
 (%i26) %o24,numer;
 (%o26) 3.727272727272727
 (%i27) ratsimp(cfdisrep(cf([3, 1, 2, 1])));
         15
 (%o27)  --
         4
 (%i28) %,numer;
 (%o28) 3.75

 

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