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Two thirds minus one fourth is equal to five twelfths.
Two quarters minus two thirds is negative one sixth. Two quarters is six twelfths, and two thirds is eight twelfths. Six twelfths minus eight twelfths is minus two twelfths or minus one sixth.
Yes, five sixths is bigger than four twelfths (simplified: one third).
5/12 - 6/12 = -1/12
Twenty five minus one third is 24 and 2/3. You may have also meant twenty five minus one third of twenty five. That would be 16 and 2/3.