Simplify (3/(10x^3))÷(5/(3x))

$\frac{3}{10 x^{3}} \div \frac{5}{3 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{10 x^{3}} \cdot \frac{3 x}{5}$

Step 2

Simplify terms.

Combine.

$\frac{3 (3 x)}{10 x^{3} \cdot 5}$

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

Factor $x$ out of $3 (3 x)$ .

$\frac{x (3 \cdot (3))}{10 x^{3} \cdot 5}$

Cancel the common factors.

Factor $x$ out of $10 x^{3} \cdot 5$ .

$\frac{x (3 \cdot (3))}{x (10 x^{2} \cdot 5)}$

Cancel the common factor.

$\frac{x (3 \cdot (3))}{x (10 x^{2} \cdot 5)}$

Rewrite the expression.

$\frac{3 \cdot (3)}{10 x^{2} \cdot 5}$

Step 3

Multiply $3$ by $3$ .

$\frac{9}{10 x^{2} \cdot 5}$

Step 4

Multiply $5$ by $10$ .

$\frac{9}{50 x^{2}}$