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-\frac{6}{7}+\frac{4}{21}
Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.
-\frac{18}{21}+\frac{4}{21}
Least common multiple of 7 and 21 is 21. Convert -\frac{6}{7} and \frac{4}{21} to fractions with denominator 21.
\frac{-18+4}{21}
Since -\frac{18}{21} and \frac{4}{21} have the same denominator, add them by adding their numerators.
\frac{-14}{21}
Add -18 and 4 to get -14.
-\frac{2}{3}
Reduce the fraction \frac{-14}{21} to lowest terms by extracting and canceling out 7.