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-\frac{27}{63}-\frac{28}{63}
Least common multiple of 7 and 9 is 63. Convert -\frac{3}{7} and \frac{4}{9} to fractions with denominator 63.
\frac{-27-28}{63}
Since -\frac{27}{63} and \frac{28}{63} have the same denominator, subtract them by subtracting their numerators.
-\frac{55}{63}
Subtract 28 from -27 to get -55.