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\frac{6}{10}+\frac{1}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{1}{10} to fractions with denominator 10.
\frac{6+1}{10}
Since \frac{6}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
\frac{7}{10}
Add 6 and 1 to get 7.