Basic Math Examples

$\frac{g + 8}{g - 4} \div \frac{2 g + 16}{g - 9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{2 g + 16}$

Step 2

Factor $2$ out of $2 g + 16$ .

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Step 2.1

Factor $2$ out of $2 g$ .

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{2 (g) + 16}$

Step 2.2

Factor $2$ out of $16$ .

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{2 g + 2 \cdot 8}$

Step 2.3

Factor $2$ out of $2 g + 2 \cdot 8$ .

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{2 (g + 8)}$

Step 3

Cancel the common factor of $g + 8$ .

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Step 3.1

Factor $g + 8$ out of $2 (g + 8)$ .

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{(g + 8) \cdot 2}$

Step 3.2

Cancel the common factor.

$\frac{g + 8}{g - 4} \cdot \frac{g - 9}{(g + 8) \cdot 2}$

Step 3.3

Rewrite the expression.

$\frac{1}{g - 4} \cdot \frac{g - 9}{2}$

Step 4

Multiply $\frac{1}{g - 4}$ by $\frac{g - 9}{2}$ .

$\frac{g - 9}{(g - 4) \cdot 2}$

Step 5

Move $2$ to the left of $g - 4$ .

$\frac{g - 9}{2 (g - 4)}$