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\frac{8+1}{8}-\frac{2}{3}
Multiply 1 and 8 to get 8.
\frac{9}{8}-\frac{2}{3}
Add 8 and 1 to get 9.
\frac{27}{24}-\frac{16}{24}
Least common multiple of 8 and 3 is 24. Convert \frac{9}{8} and \frac{2}{3} to fractions with denominator 24.
\frac{27-16}{24}
Since \frac{27}{24} and \frac{16}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{11}{24}
Subtract 16 from 27 to get 11.