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\frac{4}{3}-\frac{9}{3}+2
Convert 3 to fraction \frac{9}{3}.
\frac{4-9}{3}+2
Since \frac{4}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{5}{3}+2
Subtract 9 from 4 to get -5.
-\frac{5}{3}+\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
\frac{-5+6}{3}
Since -\frac{5}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
\frac{1}{3}
Add -5 and 6 to get 1.