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\frac{19}{50}+\frac{5}{50}
Least common multiple of 50 and 10 is 50. Convert \frac{19}{50} and \frac{1}{10} to fractions with denominator 50.
\frac{19+5}{50}
Since \frac{19}{50} and \frac{5}{50} have the same denominator, add them by adding their numerators.
\frac{24}{50}
Add 19 and 5 to get 24.
\frac{12}{25}
Reduce the fraction \frac{24}{50} to lowest terms by extracting and canceling out 2.