2). Same problem: share 2 cookies between 3 people, but this time use Brad's method. Brad had finished 2nd grade. He shared the pieces when he could, then cut each leftover piece into 2 equal pieces! Like your scissors are special, they can only cut into 2 equal pieces. Share the pieces when you can, then cut. Keep track of how much each person gets, even when they get zero of a certain size piece!
3). Try other problems like share 1 cookie with 5 people, 2 cookies with 5 people and so forth, use Brad's method and look for patterns!
4). Write a computer program for Brad's method that will give the bimal, that is, get the numerators only (the denominators will be powers of 2) of the resultant infinite series for sharing T cookies with B people.