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\frac{4-7}{11}+\frac{9}{11}
Since \frac{4}{11} and \frac{7}{11} have the same denominator, subtract them by subtracting their numerators.
-\frac{3}{11}+\frac{9}{11}
Subtract 7 from 4 to get -3.
\frac{-3+9}{11}
Since -\frac{3}{11} and \frac{9}{11} have the same denominator, add them by adding their numerators.
\frac{6}{11}
Add -3 and 9 to get 6.