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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.

 Apr 25, 2019
 #1
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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

 

 

cool cool cool

 Apr 25, 2019

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