Simplify (2x+22)/3*6/(4x)

$\frac{2 x + 22}{3} \cdot \frac{6}{4 x}$

Factor $2$ out of $2 x + 22$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 22}{3} \cdot \frac{6}{4 x}$

Factor $2$ out of $22$ .

$\frac{2 x + 2 \cdot 11}{3} \cdot \frac{6}{4 x}$

Factor $2$ out of $2 x + 2 \cdot 11$ .

$\frac{2 (x + 11)}{3} \cdot \frac{6}{4 x}$

$\frac{2 (x + 11)}{3} \cdot \frac{6}{4 x}$

Cancel the common factor of $2$ .

Factor $2$ out of $4 x$ .

$\frac{2 (x + 11)}{3} \cdot \frac{6}{2 (2 x)}$

Cancel the common factor.

$\frac{2 (x + 11)}{3} \cdot \frac{6}{2 (2 x)}$

Rewrite the expression.

$\frac{x + 11}{3} \cdot \frac{6}{2 x}$

$\frac{x + 11}{3} \cdot \frac{6}{2 x}$

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{x + 11}{3} \cdot \frac{3 (2)}{2 x}$

Cancel the common factor.

$\frac{x + 11}{3} \cdot \frac{3 \cdot 2}{2 x}$

Rewrite the expression.

$(x + 11) \cdot \frac{2}{2 x}$

$(x + 11) \cdot \frac{2}{2 x}$

Cancel the common factor of $2$ .

Cancel the common factor.

$(x + 11) \cdot \frac{2}{2 x}$

Rewrite the expression.

$(x + 11) \cdot \frac{1}{x}$

$(x + 11) \cdot \frac{1}{x}$

Multiply $x + 11$ by $\frac{1}{x}$ .

$\frac{x + 11}{x}$

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