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\frac{51}{60}+\frac{25}{60}
Least common multiple of 20 and 12 is 60. Convert \frac{17}{20} and \frac{5}{12} to fractions with denominator 60.
\frac{51+25}{60}
Since \frac{51}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.
\frac{76}{60}
Add 51 and 25 to get 76.
\frac{19}{15}
Reduce the fraction \frac{76}{60} to lowest terms by extracting and canceling out 4.