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\frac{3}{75}+\frac{10}{75}
Least common multiple of 25 and 15 is 75. Convert \frac{1}{25} and \frac{2}{15} to fractions with denominator 75.
\frac{3+10}{75}
Since \frac{3}{75} and \frac{10}{75} have the same denominator, add them by adding their numerators.
\frac{13}{75}
Add 3 and 10 to get 13.