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\frac{17}{15}-\frac{12}{15}
Least common multiple of 15 and 5 is 15. Convert \frac{17}{15} and \frac{4}{5} to fractions with denominator 15.
\frac{17-12}{15}
Since \frac{17}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{15}
Subtract 12 from 17 to get 5.
\frac{1}{3}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.