Simplify (7/(9x^3))/(5/(3x^2))

$\frac{\frac{7}{9 x^{3}}}{\frac{5}{3 x^{2}}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{9 x^{3}} \cdot \frac{3 x^{2}}{5}$

Combine.

$\frac{7 (3 x^{2})}{9 x^{3} \cdot 5}$

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $7 (3 x^{2})$ .

$\frac{3 (7 (x^{2}))}{9 x^{3} \cdot 5}$

Cancel the common factors.

Factor $3$ out of $9 x^{3} \cdot 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Factor $x^{2}$ out of $7 (x^{2})$ .

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

Cancel the common factors.

Factor $x^{2}$ out of $3 x^{3} \cdot 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $5$ by $3$ .

$\frac{7}{15 x}$

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