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\frac{51}{105}-\frac{98}{105}
Least common multiple of 35 and 15 is 105. Convert \frac{17}{35} and \frac{14}{15} to fractions with denominator 105.
\frac{51-98}{105}
Since \frac{51}{105} and \frac{98}{105} have the same denominator, subtract them by subtracting their numerators.
-\frac{47}{105}
Subtract 98 from 51 to get -47.