Algebra Examples

$\frac{1}{3 (x + 2)} \div \frac{5 x}{6 (x + 2)}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{3 (x + 2)} \cdot \frac{6 (x + 2)}{5 x}$

Step 2

Cancel the common factor of $3 (x + 2)$ .

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Step 2.1

Factor $3 (x + 2)$ out of $6 (x + 2)$ .

$\frac{1}{3 (x + 2)} \cdot \frac{3 (x + 2) (2)}{5 x}$

Step 2.2

Cancel the common factor.

$\frac{1}{3 (x + 2)} \cdot \frac{3 (x + 2) \cdot 2}{5 x}$

Step 2.3

Rewrite the expression.

$\frac{2}{5 x}$