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\frac{645}{1890}-\frac{574}{1890}
Least common multiple of 126 and 135 is 1890. Convert \frac{43}{126} and \frac{41}{135} to fractions with denominator 1890.
\frac{645-574}{1890}
Since \frac{645}{1890} and \frac{574}{1890} have the same denominator, subtract them by subtracting their numerators.
\frac{71}{1890}
Subtract 574 from 645 to get 71.