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\frac{\left(3x-9\right)\times 7}{5\left(5x-15\right)}
Divide \frac{3x-9}{5} by \frac{5x-15}{7} by multiplying \frac{3x-9}{5} by the reciprocal of \frac{5x-15}{7}.
\frac{3\times 7\left(x-3\right)}{5^{2}\left(x-3\right)}
Factor the expressions that are not already factored.
\frac{3\times 7}{5^{2}}
Cancel out x-3 in both numerator and denominator.
\frac{21}{5^{2}}
Multiply 3 and 7 to get 21.
\frac{21}{25}
Calculate 5 to the power of 2 and get 25.