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\frac{15}{21}-\frac{7}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{5}{7} and \frac{1}{3} to fractions with denominator 21.
\frac{15-7}{21}
Since \frac{15}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{21}
Subtract 7 from 15 to get 8.