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 Jul 24 comment Is my cake split envy-free (and coalition-resistant)? It's more of a non-requirement. It shouldn't be possible to happen, yet some systems accidentally allow it. Proportional division is a much better property in that regard. Jul 24 accepted Is my cake split envy-free (and coalition-resistant)? Jul 24 comment Is my cake split envy-free (and coalition-resistant)? Ah, that is a good link to look at. Thanks. My goal was to ensure two cooperating players can not claim more than 2/3th of the cake. That is still a stronger condition than just the requirement that the majority of the players is happy with the end result (player two and three both take half, and run away with the whole cake because they also have the majority of the votes together). Jul 24 comment Is my cake split envy-free (and coalition-resistant)? Oh right. Didn't think of is like that yet. Does this weaker condition have a name? For most cases the players will be more than happy with a guaranteed $1/N$ share, after all two cooperating players can always donate there share to the other after the algorithm completes. Jul 24 asked Is my cake split envy-free (and coalition-resistant)? Jun 12 revised Express 99 2/3% as a fraction? No calculator Fixed outcome. Jun 11 comment Express 99 2/3% as a fraction? No calculator @Jay This works on a very wide set of cases. It's a very useful trick in mental arithmetic to know $9 = 10 - 1$ or $98 = 100 - 2$. For example, when you calculate $98 * 143$ you can work it down like $(100-2)*143=14300-286=14014$ easily. What I love about it is that it's very close to doing a estimate, and then correcting your rounding error. Having a good insight in making close estimates is crucial to understanding how numbers and elementary algebra work. Jun 10 comment Express 99 2/3% as a fraction? No calculator If you can explain $99\frac{2}{3}\% = 100\% - \frac{1}{3}\%$, then you can work from there into $100\% - \frac{1}{3}\% = 1 - \frac{1}{3} \cdot \frac{1}{100} = \frac{300}{300} - \frac{1}{300} = \frac{299}{300}$ Jun 10 answered Express 99 2/3% as a fraction? No calculator Jan 23 comment Splitting a sandwich and not feeling deceived @user21820 Ah thanks, your last comment made sense, i understand the problem now. Learning something new every day :) As for the wikipedia argument: Over half the questions and answers on stackexchange could probably be referred to wikipedia, so that point is mood. Jan 20 comment Splitting a sandwich and not feeling deceived Also i did not read wikipedia but nobody else here mentioned that specific way so i tought it was fair to add it. Jan 20 comment Splitting a sandwich and not feeling deceived The second solution is obvious less work and therefore less fair; however if you add the assumption that when person 1 cut out 5/6 cake, person 2 and 3 might argue he meant to take only 1/6 part himself. Even when person 1 and 3 work together, this method still makes it hard to give person 2 less than 1/4th of the cake. If person 2 expect treason, person 1 can give him 1/2 cake and he can cut it into 1/4th parts. It works of course better when all players try to maximize there share. Jan 14 answered Splitting a sandwich and not feeling deceived Jan 8 comment How would you explain to a 9th grader the negative exponent rule? With my programming background I could swear the unarry (-) binds stronger than anything else, but for clarity I've updated the answer. Also, who is this woman you are referring to? Jan 8 revised How would you explain to a 9th grader the negative exponent rule? added 205 characters in body Jan 8 awarded Nice Answer Jan 7 awarded Yearling Jan 7 awarded Teacher Jan 7 answered How would you explain to a 9th grader the negative exponent rule? Nov 21 awarded Commentator