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\frac{122}{183}-\frac{153}{183}
Least common multiple of 3 and 61 is 183. Convert \frac{2}{3} and \frac{51}{61} to fractions with denominator 183.
\frac{122-153}{183}
Since \frac{122}{183} and \frac{153}{183} have the same denominator, subtract them by subtracting their numerators.
-\frac{31}{183}
Subtract 153 from 122 to get -31.