Simplify (5/(6z^3))÷(5/(12z^5))

$\frac{5}{6 z^{3}} \div \frac{5}{12 z^{5}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{6 z^{3}} \cdot \frac{12 z^{5}}{5}$

Step 2

Combine.

$\frac{5 (12 z^{5})}{6 z^{3} \cdot 5}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (12 z^{5})}{6 z^{3} \cdot 5}$

Rewrite the expression.

$\frac{12 z^{5}}{6 z^{3}}$

$\frac{12 z^{5}}{6 z^{3}}$

Step 4

Cancel the common factor of $12$ and $6$ .

Factor $6$ out of $12 z^{5}$ .

$\frac{6 (2 z^{5})}{6 z^{3}}$

Cancel the common factors.

Factor $6$ out of $6 z^{3}$ .

$\frac{6 (2 z^{5})}{6 (z^{3})}$

Cancel the common factor.

$\frac{6 (2 z^{5})}{6 z^{3}}$

Rewrite the expression.

$\frac{2 z^{5}}{z^{3}}$

$\frac{2 z^{5}}{z^{3}}$

$\frac{2 z^{5}}{z^{3}}$

Step 5

Cancel the common factor of $z^{5}$ and $z^{3}$ .

Factor $z^{3}$ out of $2 z^{5}$ .

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 z^{2}}{1}$

Divide $2 z^{2}$ by $1$ .

$2 z^{2}$

$2 z^{2}$

$2 z^{2}$

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