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\frac{10}{35}+\frac{7}{35}
Least common multiple of 7 and 5 is 35. Convert \frac{2}{7} and \frac{1}{5} to fractions with denominator 35.
\frac{10+7}{35}
Since \frac{10}{35} and \frac{7}{35} have the same denominator, add them by adding their numerators.
\frac{17}{35}
Add 10 and 7 to get 17.