Simplify (9/(4x^2))/((6x)/(16x^4))

$\frac{\frac{9}{4 x^{2}}}{\frac{6 x}{16 x^{4}}}$

Cancel the common factor of $6$ and $16$ .

Factor $2$ out of $6 x$ .

$\frac{\frac{9}{4 x^{2}}}{\frac{2 (3 x)}{16 x^{4}}}$

Cancel the common factors.

Factor $2$ out of $16 x^{4}$ .

$\frac{\frac{9}{4 x^{2}}}{\frac{2 (3 x)}{2 (8 x^{4})}}$

Cancel the common factor.

$\frac{\frac{9}{4 x^{2}}}{\frac{2 (3 x)}{2 (8 x^{4})}}$

Rewrite the expression.

$\frac{\frac{9}{4 x^{2}}}{\frac{3 x}{8 x^{4}}}$

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

Factor $x$ out of $3 x$ .

$\frac{\frac{9}{4 x^{2}}}{\frac{x \cdot 3}{8 x^{4}}}$

Cancel the common factors.

Factor $x$ out of $8 x^{4}$ .

$\frac{\frac{9}{4 x^{2}}}{\frac{x \cdot 3}{x (8 x^{3})}}$

Cancel the common factor.

$\frac{\frac{9}{4 x^{2}}}{\frac{x \cdot 3}{x (8 x^{3})}}$

Rewrite the expression.

$\frac{\frac{9}{4 x^{2}}}{\frac{3}{8 x^{3}}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{4 x^{2}} \cdot \frac{8 x^{3}}{3}$

Combine.

$\frac{9 (8 x^{3})}{4 x^{2} \cdot 3}$

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

Factor $3$ out of $9 (8 x^{3})$ .

$\frac{3 (3 (8 x^{3}))}{4 x^{2} \cdot 3}$

Cancel the common factors.

Factor $3$ out of $4 x^{2} \cdot 3$ .

$\frac{3 (3 (8 x^{3}))}{3 \cdot (4 x^{2})}$

Cancel the common factor.

$\frac{3 (3 (8 x^{3}))}{3 \cdot (4 x^{2})}$

Rewrite the expression.

$\frac{3 (8 x^{3})}{4 x^{2}}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $3 (8 x^{3})$ .

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

Cancel the common factors.

Factor $4$ out of $4 x^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{2} (3 (2 x))}{x^{2} \cdot 1}$

Cancel the common factor.

$\frac{x^{2} (3 (2 x))}{x^{2} \cdot 1}$

Rewrite the expression.

$\frac{3 (2 x)}{1}$

Divide $3 (2 x)$ by $1$ .

$3 (2 x)$

Multiply $2$ by $3$ .

$6 x$

Simplify (9/(4x^2))/((6x)/(16x^4))

Related Questions

Support LCMGCF.com by disabling your adblocker.