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\frac{217}{63}-\frac{72}{63}
Least common multiple of 9 and 7 is 63. Convert \frac{31}{9} and \frac{8}{7} to fractions with denominator 63.
\frac{217-72}{63}
Since \frac{217}{63} and \frac{72}{63} have the same denominator, subtract them by subtracting their numerators.
\frac{145}{63}
Subtract 72 from 217 to get 145.