Thread: sequence pattern

Can anyone come up with a formula for this sequence:

3/4, 2/3, 5/8, 3/5, 7/12, 4/7, 9/16, 5/9, 11/20, 6/11, ...

, assuming that the first term listed is .

This becomes obvious if you multiply the odd terms by . I found this after looking at only the odd and even terms and spotting a pattern there.