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\frac{21}{35}+\frac{4}{35}
Least common multiple of 5 and 35 is 35. Convert \frac{3}{5} and \frac{4}{35} to fractions with denominator 35.
\frac{21+4}{35}
Since \frac{21}{35} and \frac{4}{35} have the same denominator, add them by adding their numerators.
\frac{25}{35}
Add 21 and 4 to get 25.
\frac{5}{7}
Reduce the fraction \frac{25}{35} to lowest terms by extracting and canceling out 5.