Simplify ((x^3)/3)÷((5x^2)/7)

$\frac{x^{3}}{3} \div \frac{5 x^{2}}{7}$

To divide by a fraction, multiply by its reciprocal.

$\frac{x^{3}}{3} \cdot \frac{7}{5 x^{2}}$

Simplify terms.

Combine.

$\frac{x^{3} \cdot 7}{3 (5 x^{2})}$

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

Factor $x^{2}$ out of $x^{3} \cdot 7$ .

$\frac{x^{2} (x \cdot 7)}{3 (5 x^{2})}$

Cancel the common factors.

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

$\frac{x^{2} (x \cdot 7)}{x^{2} (3 \cdot (5))}$

Cancel the common factor.

$\frac{x^{2} (x \cdot 7)}{x^{2} (3 \cdot (5))}$

Rewrite the expression.

$\frac{x \cdot 7}{3 \cdot (5)}$

Multiply $3$ by $5$ .

$\frac{x \cdot 7}{15}$

Move $7$ to the left of $x$ .

$\frac{7 x}{15}$