What is the next number in this sequence - 1/2, 6/1, 35/6, 7134/35, ?

Answer 1

********** / 7134
The old number before the / becomes the new number behind the /.
The new number before the / is the difference of the old numbers * the old number behind the / * the sum of the old numbers
.
1 / 2 -> (1*2*3) / 1 => 6 / 1
6 / 1 -> (5*1*7) / 6 => 35 / 6
35 / 6 -> (29*6*41) / 35 => 7134 / 35
7134 / 35 -> (7099*35*7169) / 7134 => ********** / 7134