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\frac{3a^{2}+19a-40}{\left(6a-10\right)\left(a+8\right)}
Express \frac{\frac{3a^{2}+19a-40}{6a-10}}{a+8} as a single fraction.
\frac{\left(3a-5\right)\left(a+8\right)}{2\left(3a-5\right)\left(a+8\right)}
Factor the expressions that are not already factored.
\frac{1}{2}
Cancel out \left(3a-5\right)\left(a+8\right) in both numerator and denominator.