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\frac{8}{12}-\frac{9}{12}
Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{3}{4} to fractions with denominator 12.
\frac{8-9}{12}
Since \frac{8}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{12}
Subtract 9 from 8 to get -1.