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\frac{\left(1-m\right)\times 3}{3\left(2-m\right)}
Divide \frac{1-m}{3} by \frac{2-m}{3} by multiplying \frac{1-m}{3} by the reciprocal of \frac{2-m}{3}.
\frac{-m+1}{-m+2}
Cancel out 3 in both numerator and denominator.
\frac{\left(1-m\right)\times 3}{3\left(2-m\right)}
Divide \frac{1-m}{3} by \frac{2-m}{3} by multiplying \frac{1-m}{3} by the reciprocal of \frac{2-m}{3}.
\frac{-m+1}{-m+2}
Cancel out 3 in both numerator and denominator.