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\frac{85}{60}-\frac{78}{60}
Least common multiple of 12 and 10 is 60. Convert \frac{17}{12} and \frac{13}{10} to fractions with denominator 60.
\frac{85-78}{60}
Since \frac{85}{60} and \frac{78}{60} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{60}
Subtract 78 from 85 to get 7.