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\frac{6}{20}+\frac{19}{20}
Least common multiple of 10 and 20 is 20. Convert \frac{3}{10} and \frac{19}{20} to fractions with denominator 20.
\frac{6+19}{20}
Since \frac{6}{20} and \frac{19}{20} have the same denominator, add them by adding their numerators.
\frac{25}{20}
Add 6 and 19 to get 25.
\frac{5}{4}
Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.