Algebra Examples

$\frac{x - 2}{x + 3} \div \frac{2}{x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x - 2}{x + 3} \cdot \frac{x}{2}$

Step 2

Multiply $\frac{x - 2}{x + 3}$ by $\frac{x}{2}$ .

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

Step 3

Move $2$ to the left of $x + 3$ .

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

Step 4

Reorder factors in $\frac{(x - 2) x}{2 (x + 3)}$ .

$\frac{x (x - 2)}{2 (x + 3)}$