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\frac{21}{70}+\frac{20}{70}
Least common multiple of 10 and 7 is 70. Convert \frac{3}{10} and \frac{2}{7} to fractions with denominator 70.
\frac{21+20}{70}
Since \frac{21}{70} and \frac{20}{70} have the same denominator, add them by adding their numerators.
\frac{41}{70}
Add 21 and 20 to get 41.