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\frac{66}{21}-\frac{14}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{22}{7} and \frac{2}{3} to fractions with denominator 21.
\frac{66-14}{21}
Since \frac{66}{21} and \frac{14}{21} have the same denominator, subtract them by subtracting their numerators.
\frac{52}{21}
Subtract 14 from 66 to get 52.