Simplify ((2x^4)/7)÷((5x^4)/4)

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Simplify terms.

Combine.

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

Cancel the common factor of $x^{4}$ .

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $2$ by $4$ .

$\frac{8}{7 \cdot (5)}$

Step 3

Multiply $7$ by $5$ .

$\frac{8}{35}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{35}$

Decimal Form:

$0.2\overline{285714}$