3 quarters is 9 twelfths, so 9 twelfths minus 3 twelfths is 6 twelfths, which is also a half.
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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.
Converting to twelfths gives 9 twelfths minus 8 twelfths which is 1 twelfth.
Expressed as a proper fraction in its simplest form, 11/12 - 3/4 = 1/6 or one sixth.
9/12 minus 3/4 is 0.
8/12 - 11/12 = -3/12 = -1/4