# Math Help - Write the rational expression in lowest terms

1. ## Write the rational expression in lowest terms

4t(t+5)
______
24t^2(t-5)

2. Originally Posted by Panama
4t(t+5)
______
24t^2(t-5)
$=\frac{ {4t}(t+5)}{24t^2(t-5)}$

$
=\frac{\bold{\rlap{\color{red}=}}4t (t+5)}{\bold{\rlap{\color{red}==}}24t \cdot t(t-5)}$

$=\frac{t+5}{6t(t-5)}$

$=\frac{t+5}{6t^2-30t}$

3. Thank you!!