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.
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Converting to twelfths gives 9 twelfths minus 8 twelfths which is 1 twelfth.
Eight minus two thirds would be seven and one third.
(five and two thirds) minus (two and three fourths) = 2.91666667
6 minus 3 and two thirds = 2 and one third.
2 minus one third is 1 and two thirds.