Simplify ((4n)/(n-6))÷((4n)/(8n-48))

$\frac{4 n}{n - 6} \div \frac{4 n}{8 n - 48}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 n}{n - 6} \cdot \frac{8 n - 48}{4 n}$

Step 2

Cancel the common factor of $4 n$ .

Cancel the common factor.

$\frac{4 n}{n - 6} \cdot \frac{8 n - 48}{4 n}$

Rewrite the expression.

$\frac{1}{n - 6} (8 n - 48)$

Step 3

Multiply $\frac{1}{n - 6}$ by $8 n - 48$ .

$\frac{8 n - 48}{n - 6}$

Step 4

Factor $8$ out of $8 n - 48$ .

Factor $8$ out of $8 n$ .

$\frac{8 (n) - 48}{n - 6}$

Factor $8$ out of $- 48$ .

$\frac{8 n + 8 \cdot - 6}{n - 6}$

Factor $8$ out of $8 n + 8 \cdot - 6$ .

$\frac{8 (n - 6)}{n - 6}$

Step 5

Cancel the common factor of $n - 6$ .

Cancel the common factor.

$\frac{8 (n - 6)}{n - 6}$

Divide $8$ by $1$ .

$8$