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\frac{17}{18}-\frac{63}{18}
Least common multiple of 18 and 2 is 18. Convert \frac{17}{18} and \frac{7}{2} to fractions with denominator 18.
\frac{17-63}{18}
Since \frac{17}{18} and \frac{63}{18} have the same denominator, subtract them by subtracting their numerators.
\frac{-46}{18}
Subtract 63 from 17 to get -46.
-\frac{23}{9}
Reduce the fraction \frac{-46}{18} to lowest terms by extracting and canceling out 2.