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\frac{1}{10}+\frac{3}{7}
Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.
\frac{7}{70}+\frac{30}{70}
Least common multiple of 10 and 7 is 70. Convert \frac{1}{10} and \frac{3}{7} to fractions with denominator 70.
\frac{7+30}{70}
Since \frac{7}{70} and \frac{30}{70} have the same denominator, add them by adding their numerators.
\frac{37}{70}
Add 7 and 30 to get 37.