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 Bigger or Smaller?? (Posted on 2007-02-22)
Given that x=111110/111111, y=222221/222223, z=333331/333334, which is the biggest and which is the smallest?

 No Solution Yet Submitted by Ansh Rating: 1.7500 (4 votes)

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 Solution | Comment 2 of 6 |

A common denominator can be determined by multiplying the denominator and numerator of each fraction with the denominators of the other two fractions:

x = 111110 / 111111 = 823041563746502 / 823048971194650
y = 222221 / 222223 = 823041563779835 / 823048971194650
z = 333331 / 333334 = 823041563768724 / 823048971194650

Since
823041563779835 > 823041563768724 > 823041563746502
y          >                  z         >                   x.

Therefore, y is the biggest and x is the smallest fraction of the three fractions.

 Posted by Dej Mar on 2007-02-22 20:32:21

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