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\frac{21}{35}-\frac{5}{35}
Least common multiple of 5 and 7 is 35. Convert \frac{3}{5} and \frac{1}{7} to fractions with denominator 35.
\frac{21-5}{35}
Since \frac{21}{35} and \frac{5}{35} have the same denominator, subtract them by subtracting their numerators.
\frac{16}{35}
Subtract 5 from 21 to get 16.