Algebra Examples

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

Step 1

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

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Step 1.1

Factor $2$ out of $2 x$ .

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

Step 1.2

Factor $2$ out of $22$ .

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

Step 1.3

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

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

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4 x$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $6$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

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

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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

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

Step 5

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$