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\frac{14}{21}-\frac{18}{21}
Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{6}{7} to fractions with denominator 21.
\frac{14-18}{21}
Since \frac{14}{21} and \frac{18}{21} have the same denominator, subtract them by subtracting their numerators.
-\frac{4}{21}
Subtract 18 from 14 to get -4.