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\frac{\left(3m-15n\right)\times 2p^{2}}{4mp\left(m-5n\right)}
Multiply \frac{3m-15n}{4mp} times \frac{2p^{2}}{m-5n} by multiplying numerator times numerator and denominator times denominator.
\frac{p\left(3m-15n\right)}{2m\left(m-5n\right)}
Cancel out 2p in both numerator and denominator.
\frac{3p\left(m-5n\right)}{2m\left(m-5n\right)}
Factor the expressions that are not already factored.
\frac{3p}{2m}
Cancel out m-5n in both numerator and denominator.
\frac{\left(3m-15n\right)\times 2p^{2}}{4mp\left(m-5n\right)}
Multiply \frac{3m-15n}{4mp} times \frac{2p^{2}}{m-5n} by multiplying numerator times numerator and denominator times denominator.
\frac{p\left(3m-15n\right)}{2m\left(m-5n\right)}
Cancel out 2p in both numerator and denominator.
\frac{3p\left(m-5n\right)}{2m\left(m-5n\right)}
Factor the expressions that are not already factored.
\frac{3p}{2m}
Cancel out m-5n in both numerator and denominator.