[tex]6 \frac{3}{4} + \frac{1}{2} - 5 \frac{2}{3} \\ \\ = \frac{27}{4} + \frac{1}{2} - \frac{17}{3} \\ \\ = \frac{81 + 6 - 68}{12} \\ \\ = \frac{19}{12} = 1 \frac{7}{12} [/tex]
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[tex]6 \frac{3}{4} + \frac{1}{2} - 5 \frac{2}{3} \\ \\ = \frac{27}{4} + \frac{1}{2} - \frac{17}{3} \\ \\ = \frac{81 + 6 - 68}{12} \\ \\ = \frac{19}{12} = 1 \frac{7}{12} [/tex]