Simplify (3/4)÷(12/(2x+6))

$\frac{3}{4} \div \frac{12}{2 x + 6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{2 x + 6}{12}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$\frac{3}{4} \cdot \frac{2 x + 6}{3 (4)}$

Cancel the common factor.

$\frac{3}{4} \cdot \frac{2 x + 6}{3 \cdot 4}$

Rewrite the expression.

$\frac{1}{4} \cdot \frac{2 x + 6}{4}$

$\frac{1}{4} \cdot \frac{2 x + 6}{4}$

Step 3

Multiply $\frac{1}{4}$ by $\frac{2 x + 6}{4}$ .

$\frac{2 x + 6}{4 \cdot 4}$

Step 4

Multiply $4$ by $4$ .

$\frac{2 x + 6}{16}$

Step 5

Cancel the common factor of $2 x + 6$ and $16$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 6}{16}$

Factor $2$ out of $6$ .

$\frac{2 x + 2 \cdot 3}{16}$

Factor $2$ out of $2 x + 2 \cdot 3$ .

$\frac{2 (x + 3)}{16}$

Cancel the common factors.

Factor $2$ out of $16$ .

$\frac{2 (x + 3)}{2 (8)}$

Cancel the common factor.

$\frac{2 (x + 3)}{2 \cdot 8}$

Rewrite the expression.

$\frac{x + 3}{8}$

$\frac{x + 3}{8}$

$\frac{x + 3}{8}$

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