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\frac{30}{70}+\frac{7}{70}
Least common multiple of 7 and 10 is 70. Convert \frac{3}{7} and \frac{1}{10} to fractions with denominator 70.
\frac{30+7}{70}
Since \frac{30}{70} and \frac{7}{70} have the same denominator, add them by adding their numerators.
\frac{37}{70}
Add 30 and 7 to get 37.