# Math Help - Rational Expressions Help

1. ## Rational Expressions Help

Hey there!
Find a rational expression p/q in simplest form such that
(9a/16b^4)p/q=3/((2a^2)b^2)

My guess is maybe it involves ratio.

thanks.

2. $\frac{9a}{16b^4}\cdot\frac{p}{q}=\frac{3}{2a^2b^2}$

Multiply both sides by $\frac{16b^4}{9a}$

$\frac{p}{q}=\frac{3}{2a^2b^2}\cdot\frac{16b^4}{9a} =\frac{8b^2}{3a^3}$