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\frac{5}{50}+\frac{4}{50}
Least common multiple of 10 and 25 is 50. Convert \frac{1}{10} and \frac{2}{25} to fractions with denominator 50.
\frac{5+4}{50}
Since \frac{5}{50} and \frac{4}{50} have the same denominator, add them by adding their numerators.
\frac{9}{50}
Add 5 and 4 to get 9.