Simplify ((2m+4)/8)÷((m+2)/6)

$\frac{2 m + 4}{8} \div \frac{m + 2}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2 m + 4}{8} \cdot \frac{6}{m + 2}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{2 m + 4}{2 (4)} \cdot \frac{6}{m + 2}$

Factor $2$ out of $6$ .

$\frac{2 m + 4}{2 \cdot 4} \cdot \frac{2 \cdot 3}{m + 2}$

Cancel the common factor.

$\frac{2 m + 4}{2 \cdot 4} \cdot \frac{2 \cdot 3}{m + 2}$

Rewrite the expression.

$\frac{2 m + 4}{4} \cdot \frac{3}{m + 2}$

Step 3

Multiply $\frac{2 m + 4}{4}$ by $\frac{3}{m + 2}$ .

$\frac{(2 m + 4) \cdot 3}{4 (m + 2)}$

Step 4

Cancel the common factor of $2 m + 4$ and $4$ .

Factor $2$ out of $(2 m + 4) \cdot 3$ .

$\frac{2 ((m + 2) \cdot 3)}{4 (m + 2)}$

Cancel the common factors.

Factor $2$ out of $4 (m + 2)$ .

$\frac{2 ((m + 2) \cdot 3)}{2 (2 (m + 2))}$

Cancel the common factor.

$\frac{2 ((m + 2) \cdot 3)}{2 (2 (m + 2))}$

Rewrite the expression.

$\frac{(m + 2) \cdot 3}{2 (m + 2)}$

Step 5

Cancel the common factor of $m + 2$ .

Cancel the common factor.

$\frac{(m + 2) \cdot 3}{2 (m + 2)}$

Rewrite the expression.

$\frac{3}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$