Simplify ((6x^2)/5)÷((5x^3)/6)

$\frac{6 x^{2}}{5} \div \frac{5 x^{3}}{6}$

To divide by a fraction, multiply by its reciprocal.

$\frac{6 x^{2}}{5} \cdot \frac{6}{5 x^{3}}$

Combine.

$\frac{6 x^{2} \cdot 6}{5 (5 x^{3})}$

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

Factor $x^{2}$ out of $6 x^{2} \cdot 6$ .

$\frac{x^{2} (6 \cdot 6)}{5 (5 x^{3})}$

Cancel the common factors.

Factor $x^{2}$ out of $5 (5 x^{3})$ .

$\frac{x^{2} (6 \cdot 6)}{x^{2} (5 (5 x))}$

Cancel the common factor.

$\frac{x^{2} (6 \cdot 6)}{x^{2} (5 (5 x))}$

Rewrite the expression.

$\frac{6 \cdot 6}{5 (5 x)}$

Multiply.

Multiply $6$ by $6$ .

$\frac{36}{5 \cdot 5 x}$

Multiply $5$ by $5$ .

$\frac{36}{25 x}$