Pre-Algebra Examples

$\frac{b + 2}{b - 2} \div \frac{2 b + 4}{b - 4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{2 b + 4}$

Step 2

Factor $2$ out of $2 b + 4$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $2 b$ .

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{2 (b) + 4}$

Step 2.2

Factor $2$ out of $4$ .

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{2 b + 2 \cdot 2}$

Step 2.3

Factor $2$ out of $2 b + 2 \cdot 2$ .

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{2 (b + 2)}$

Step 3

Cancel the common factor of $b + 2$ .

Tap for more steps...

Step 3.1

Factor $b + 2$ out of $2 (b + 2)$ .

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{(b + 2) \cdot 2}$

Step 3.2

Cancel the common factor.

$\frac{b + 2}{b - 2} \cdot \frac{b - 4}{(b + 2) \cdot 2}$

Step 3.3

Rewrite the expression.

$\frac{1}{b - 2} \cdot \frac{b - 4}{2}$

Step 4

Multiply $\frac{1}{b - 2}$ by $\frac{b - 4}{2}$ .

$\frac{b - 4}{(b - 2) \cdot 2}$

Step 5

Move $2$ to the left of $b - 2$ .

$\frac{b - 4}{2 (b - 2)}$