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\frac{5}{9}-33+22
Reduce the fraction \frac{55}{99} to lowest terms by extracting and canceling out 11.
\frac{5}{9}-\frac{297}{9}+22
Convert 33 to fraction \frac{297}{9}.
\frac{5-297}{9}+22
Since \frac{5}{9} and \frac{297}{9} have the same denominator, subtract them by subtracting their numerators.
-\frac{292}{9}+22
Subtract 297 from 5 to get -292.
-\frac{292}{9}+\frac{198}{9}
Convert 22 to fraction \frac{198}{9}.
\frac{-292+198}{9}
Since -\frac{292}{9} and \frac{198}{9} have the same denominator, add them by adding their numerators.
-\frac{94}{9}
Add -292 and 198 to get -94.