Andy, Barry, and Craig are all in a pie-eating contest. Andy ate \(\frac{4}{7}\) of his pie, Barry ate \(\frac{7}{12}\) of his pie, and Craig ate \(\frac{5}{8}\) of his pie. Afterward, their dog Fido ate all the remaining pie. How many more pies did Fido eat than the winner? Express your answer as a fraction or mixed number in simplest form.

Guest Apr 25, 2019

#1**+1 **

Andy ate 4/7 = 84/168 pie

Barry ate 7/12 = 98/168 pie

Craig ate 5/8 = 105/168 pies

Andy's pie remaining = (1 - 4/7) = 3/7

Barry's pie remaining = (1 - 7/12) = 5/12

Craig's pie remaining = (1 - 5/8) = 3/8

So Fido ate 3/7 + 5/12 + 3/8 = 205/168 pies

So Fido ate 205/168 - 105/168 = 100/168 = 25 / 42 more pies than the winner

CPhill Apr 25, 2019