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\frac{25}{9}-\frac{18+5}{18}
Multiply 1 and 18 to get 18.
\frac{25}{9}-\frac{23}{18}
Add 18 and 5 to get 23.
\frac{50}{18}-\frac{23}{18}
Least common multiple of 9 and 18 is 18. Convert \frac{25}{9} and \frac{23}{18} to fractions with denominator 18.
\frac{50-23}{18}
Since \frac{50}{18} and \frac{23}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{27}{18}
Subtract 23 from 50 to get 27.
\frac{3}{2}
Reduce the fraction \frac{27}{18} to lowest terms by extracting and canceling out 9.