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\frac{303}{342}-\frac{194}{342}
Least common multiple of 114 and 171 is 342. Convert \frac{101}{114} and \frac{97}{171} to fractions with denominator 342.
\frac{303-194}{342}
Since \frac{303}{342} and \frac{194}{342} have the same denominator, subtract them by subtracting their numerators.
\frac{109}{342}
Subtract 194 from 303 to get 109.