Simplify for all permissible values of the variable $\frac{3 x}{12} \div \frac{y}{8 x^{2}} \times \frac{5 x^{2} y^{3}}{9 x^{3} y^{2}}$
Simplify the expression by canceling out common factors: \(\boxed{\frac{10x^2}{9}}\)
Step 1 :Rewrite the expression as: \(\frac{3x}{12} \times \frac{8x^2}{y} \times \frac{5x^2y^3}{9x^3y^2}\)
Step 2 :Simplify the expression by canceling out common factors: \(\boxed{\frac{10x^2}{9}}\)