Divide (4/(3x^5))÷(12/(5x^7))

$\frac{4}{3 x^{5}} \div \frac{12}{5 x^{7}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{3 x^{5}} \cdot \frac{5 x^{7}}{12}$

Combine.

$\frac{4 (5 x^{7})}{3 x^{5} \cdot 12}$

Cancel the common factors.

Factor $4$ out of $3 x^{5} \cdot 12$ .

$\frac{4 (5 x^{7})}{4 (3 x^{5} \cdot 3)}$

Cancel the common factor.

$\frac{4 (5 x^{7})}{4 (3 x^{5} \cdot 3)}$

Rewrite the expression.

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

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

Cancel the common factor of $x^{7}$ and $x^{5}$ .

Factor $x^{5}$ out of $5 x^{7}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $3$ by $3$ .

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

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