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\frac{2}{9}+5-2
Subtract 5 from 7 to get 2.
\frac{2}{9}+\frac{45}{9}-2
Convert 5 to fraction \frac{45}{9}.
\frac{2+45}{9}-2
Since \frac{2}{9} and \frac{45}{9} have the same denominator, add them by adding their numerators.
\frac{47}{9}-2
Add 2 and 45 to get 47.
\frac{47}{9}-\frac{18}{9}
Convert 2 to fraction \frac{18}{9}.
\frac{47-18}{9}
Since \frac{47}{9} and \frac{18}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{29}{9}
Subtract 18 from 47 to get 29.