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\frac{\left(6f-6\right)\left(f+9\right)}{\left(3f-8\right)\left(6f-6\right)}
Divide \frac{6f-6}{3f-8} by \frac{6f-6}{f+9} by multiplying \frac{6f-6}{3f-8} by the reciprocal of \frac{6f-6}{f+9}.
\frac{f+9}{3f-8}
Cancel out 6f-6 in both numerator and denominator.
\frac{\left(6f-6\right)\left(f+9\right)}{\left(3f-8\right)\left(6f-6\right)}
Divide \frac{6f-6}{3f-8} by \frac{6f-6}{f+9} by multiplying \frac{6f-6}{3f-8} by the reciprocal of \frac{6f-6}{f+9}.
\frac{f+9}{3f-8}
Cancel out 6f-6 in both numerator and denominator.