Multiply ((5n)/(6m^3))÷(10/(3m^2))

$\frac{5 n}{6 m^{3}} \div \frac{10}{3 m^{2}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{5 n}{6 m^{3}} \cdot \frac{3 m^{2}}{10}$

Cancel the common factor of $5$ .

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Factor $5$ out of $5 n$ .

$\frac{5 (n)}{6 m^{3}} \cdot \frac{3 m^{2}}{10}$

Factor $5$ out of $10$ .

$\frac{5 (n)}{6 m^{3}} \cdot \frac{3 m^{2}}{5 (2)}$

Cancel the common factor.

$\frac{5 n}{6 m^{3}} \cdot \frac{3 m^{2}}{5 \cdot 2}$

Rewrite the expression.

$\frac{n}{6 m^{3}} \cdot \frac{3 m^{2}}{2}$

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

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Factor $3 m^{2}$ out of $6 m^{3}$ .

$\frac{n}{3 m^{2} (2 m)} \cdot \frac{3 m^{2}}{2}$

Cancel the common factor.

$\frac{n}{3 m^{2} (2 m)} \cdot \frac{3 m^{2}}{2}$

Rewrite the expression.

$\frac{n}{2 m} \cdot \frac{1}{2}$

Multiply $\frac{n}{2 m}$ and $\frac{1}{2}$ .

$\frac{n}{2 m \cdot 2}$

Multiply $2$ by $2$ .

$\frac{n}{4 m}$

Multiply ((5n)/(6m^3))÷(10/(3m^2))

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