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\frac{23}{9}-\frac{3+2}{3}
Multiply 1 and 3 to get 3.
\frac{23}{9}-\frac{5}{3}
Add 3 and 2 to get 5.
\frac{23}{9}-\frac{15}{9}
Least common multiple of 9 and 3 is 9. Convert \frac{23}{9} and \frac{5}{3} to fractions with denominator 9.
\frac{23-15}{9}
Since \frac{23}{9} and \frac{15}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{9}
Subtract 15 from 23 to get 8.