Algebra Examples

$\frac{1}{7 x^{3}} \cdot \frac{x^{2}}{2}$

Step 1

Combine.

$\frac{1 x^{2}}{7 x^{3} \cdot 2}$

Step 2

Cancel the common factor of $x^{2}$ and $x^{3}$ .

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Step 2.1

Factor $x^{2}$ out of $1 x^{2}$ .

$\frac{x^{2} \cdot 1}{7 x^{3} \cdot 2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{2}$ out of $7 x^{3} \cdot 2$ .

$\frac{x^{2} \cdot 1}{x^{2} (7 x \cdot 2)}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{2} \cdot 1}{x^{2} (7 x \cdot 2)}$

Step 2.2.3

Rewrite the expression.

$\frac{1}{7 x \cdot 2}$

$\frac{1}{7 x \cdot 2}$

$\frac{1}{7 x \cdot 2}$

Step 3

Multiply $2$ by $7$ .

$\frac{1}{14 x}$

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