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\frac{7}{35}+\frac{5}{35}
Least common multiple of 5 and 7 is 35. Convert \frac{1}{5} and \frac{1}{7} to fractions with denominator 35.
\frac{7+5}{35}
Since \frac{7}{35} and \frac{5}{35} have the same denominator, add them by adding their numerators.
\frac{12}{35}
Add 7 and 5 to get 12.