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\frac{\left(x-5\right)\left(x^{2}-2x\right)}{4x\left(x^{2}-7x+10\right)}
Divide \frac{x-5}{4x} by \frac{x^{2}-7x+10}{x^{2}-2x} by multiplying \frac{x-5}{4x} by the reciprocal of \frac{x^{2}-7x+10}{x^{2}-2x}.
\frac{x\left(x-5\right)\left(x-2\right)}{4x\left(x-5\right)\left(x-2\right)}
Factor the expressions that are not already factored.
\frac{1}{4}
Cancel out x\left(x-5\right)\left(x-2\right) in both numerator and denominator.