My Math Forum Number of steps to form 1 fluid oz

 Probability and Statistics Basic Probability and Statistics Math Forum

 February 20th, 2019, 01:16 PM #11 Newbie   Joined: Feb 2019 From: Scotland Posts: 6 Thanks: 0 Thanks a lot for your help! Did anyone try to show why there aren't any less steps? I read the answers on the link given by Estermont and realized that it would be hard to apply the problem in this one as the same logic wouldn't apply: "either always from A to B or from B to A" is not possible here... I also read more on the Extended Euclidean Algorithm but it seems it is suited for 2 numbers instead of 3.
 February 20th, 2019, 02:21 PM #12 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Here's a 9 : (1) (0, 0, 6) (2) (0, 10, 6) (3) (10, 0, 6) (4) (10, 6, 0) (5) (10, 6, 6) (6) (15, 6, 1) (7) (11, 10, 1) (8) (11, 0, 1) (9) (1, 10, 1)
 February 20th, 2019, 02:25 PM #13 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Anutter 9: (1) (15, 0, 0) (2) (5, 10, 0) (3) (5, 0, 0) (4) (0, 5, 0) (5) (0, 5, 6) (6) (6, 5, 0) (7) (6, 5, 6), (8) (6, 10, 1) (9) (15, 1, 1)

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