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\frac{51}{75}-\frac{65}{75}
Least common multiple of 25 and 15 is 75. Convert \frac{17}{25} and \frac{13}{15} to fractions with denominator 75.
\frac{51-65}{75}
Since \frac{51}{75} and \frac{65}{75} have the same denominator, subtract them by subtracting their numerators.
-\frac{14}{75}
Subtract 65 from 51 to get -14.