Simplify (9x^2y^3)/(24a^2x^3y^4)

$\frac{9 x^{2} y^{3}}{24 a^{2} x^{3} y^{4}}$

Cancel the common factor of $9$ and $24$ .

Factor $3$ out of $9 x^{2} y^{3}$ .

$\frac{3 (3 x^{2} y^{3})}{24 a^{2} x^{3} y^{4}}$

Cancel the common factors.

Factor $3$ out of $24 a^{2} x^{3} y^{4}$ .

$\frac{3 (3 x^{2} y^{3})}{3 (8 a^{2} x^{3} y^{4})}$

Cancel the common factor.

$\frac{3 (3 x^{2} y^{3})}{3 (8 a^{2} x^{3} y^{4})}$

Rewrite the expression.

$\frac{3 x^{2} y^{3}}{8 a^{2} x^{3} y^{4}}$

Cancel the common factor of $x^{2}$ and $x^{3}$ .

Factor $x^{2}$ out of $3 x^{2} y^{3}$ .

$\frac{x^{2} (3 y^{3})}{8 a^{2} x^{3} y^{4}}$

Cancel the common factors.

Factor $x^{2}$ out of $8 a^{2} x^{3} y^{4}$ .

$\frac{x^{2} (3 y^{3})}{x^{2} (8 a^{2} x y^{4})}$

Cancel the common factor.

$\frac{x^{2} (3 y^{3})}{x^{2} (8 a^{2} x y^{4})}$

Rewrite the expression.

$\frac{3 y^{3}}{8 a^{2} x y^{4}}$

Cancel the common factor of $y^{3}$ and $y^{4}$ .

Factor $y^{3}$ out of $3 y^{3}$ .

$\frac{y^{3} \cdot 3}{8 a^{2} x y^{4}}$

Cancel the common factors.

Factor $y^{3}$ out of $8 a^{2} x y^{4}$ .

$\frac{y^{3} \cdot 3}{y^{3} (8 a^{2} x y)}$

Cancel the common factor.

$\frac{y^{3} \cdot 3}{y^{3} (8 a^{2} x y)}$

Rewrite the expression.

$\frac{3}{8 a^{2} x y}$