Simplify (3/(7x^2))÷(5/(4x^2))

$\frac{3}{7 x^{2}} \div \frac{5}{4 x^{2}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{7 x^{2}} \cdot \frac{4 x^{2}}{5}$

Simplify terms.

Combine.

$\frac{3 (4 x^{2})}{7 x^{2} \cdot 5}$

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

Cancel the common factor.

$\frac{3 (4 x^{2})}{7 x^{2} \cdot 5}$

Rewrite the expression.

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

Multiply $3$ by $4$ .

$\frac{12}{7 \cdot 5}$

Multiply $7$ by $5$ .

$\frac{12}{35}$

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{35}$

Decimal Form:

$0.3\overline{428571}$