Simplify (2(x+4))/6*3/4

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Multiply $2$ by $2$ .

$\frac{x + 4}{4}$

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