Identify the next number in the pattern

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next number in pattern 6 , 4 , 3 , 12/5 ...
1) 7/3 2) 9/4 3) 13/5 4) 2
please explain your deduction too
thank you
 
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12/2 12/3 12/4 12/5 12/6
 
I got there the hard way through this convoluted path: 30/5, 20/5, 15/5, 12/5, 10/5
30 is diminished by 1/3 to get 20, 20 by 1/4 to get 15, 15 by 1/5 to get 12, and 12 is diminished by 1/6 to get 10.
 

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