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What number is bigger than five and one - sixth by the same amount that one and one eighth is less than one and one fourth ?

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What number is bigger than five and one - sixth by the same amount that one and one eighth is less than one and one fourth?

Let the number be n.

Then n - 5 1/6 = 1 1/4 - 1 1/8 
          n - 5 1/6 = 10/8 - 9/8= 1/8

Then n - 5 1/6 = 1/8.  Multiply all three terms by 24 to eliminate fractions:

24n - 124 = 3.  Adding 124 to both sides, 24n = 3+124.  Then 24n = 127, 
and n = 127/24.

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