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\frac{1349}{1577}-\frac{1411}{1577}
Least common multiple of 83 and 19 is 1577. Convert \frac{71}{83} and \frac{17}{19} to fractions with denominator 1577.
\frac{1349-1411}{1577}
Since \frac{1349}{1577} and \frac{1411}{1577} have the same denominator, subtract them by subtracting their numerators.
-\frac{62}{1577}
Subtract 1411 from 1349 to get -62.