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-\frac{63}{72}+\frac{40}{72}
Least common multiple of 8 and 9 is 72. Convert -\frac{7}{8} and \frac{5}{9} to fractions with denominator 72.
\frac{-63+40}{72}
Since -\frac{63}{72} and \frac{40}{72} have the same denominator, add them by adding their numerators.
-\frac{23}{72}
Add -63 and 40 to get -23.