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\frac{\left(ab-4b\right)\times 20}{5b\left(a^{2}-16\right)}
Divide \frac{ab-4b}{5b} by \frac{a^{2}-16}{20} by multiplying \frac{ab-4b}{5b} by the reciprocal of \frac{a^{2}-16}{20}.
\frac{4\left(ab-4b\right)}{b\left(a^{2}-16\right)}
Cancel out 5 in both numerator and denominator.
\frac{4b\left(a-4\right)}{b\left(a-4\right)\left(a+4\right)}
Factor the expressions that are not already factored.
\frac{4}{a+4}
Cancel out b\left(a-4\right) in both numerator and denominator.
\frac{\left(ab-4b\right)\times 20}{5b\left(a^{2}-16\right)}
Divide \frac{ab-4b}{5b} by \frac{a^{2}-16}{20} by multiplying \frac{ab-4b}{5b} by the reciprocal of \frac{a^{2}-16}{20}.
\frac{4\left(ab-4b\right)}{b\left(a^{2}-16\right)}
Cancel out 5 in both numerator and denominator.
\frac{4b\left(a-4\right)}{b\left(a-4\right)\left(a+4\right)}
Factor the expressions that are not already factored.
\frac{4}{a+4}
Cancel out b\left(a-4\right) in both numerator and denominator.