How do you multiply 2/(25x^2)*(5x)/12div2/(15x)?

$\frac{2}{25 {x}^{2}} \cdot \frac{5 x}{12} \textcolor{red}{\div \frac{2}{15 x}} \text{ } \leftarrow \div$ changes to multiply
$= \frac{\cancel{2}}{{\cancel{25}}^{5} {x}^{2}} \times \frac{\cancel{5} x}{\cancel{12}} ^ 4 \textcolor{red}{\times \frac{{\cancel{15}}^{5} x}{\cancel{2}}} \text{ } \leftarrow$ cancel numbers, using 2,3,5
$= \frac{\cancel{5} \times \cancel{{x}^{2}}}{\cancel{5} \times 4 \times \cancel{{x}^{2}}} \text{ } \leftarrow$multiply variables and simplify
$= \frac{1}{4}$