Algebra Examples

$\frac{7}{2 x} \div \frac{7}{2 x^{3}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Combine.

$\frac{7 (2 x^{3})}{2 x \cdot 7}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 (2 x^{3})}{2 x \cdot 7}$

Step 3.2

Rewrite the expression.

$\frac{2 x^{3}}{2 x}$

$\frac{2 x^{3}}{2 x}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$\frac{2 x^{3}}{2 x}$

Step 4.2

Rewrite the expression.

$\frac{x^{3}}{x}$

$\frac{x^{3}}{x}$

Step 5

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

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Step 5.1

Factor $x$ out of $x^{3}$ .

$\frac{x \cdot x^{2}}{x}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Raise $x$ to the power of $1$ .

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

Step 5.2.2

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

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

Step 5.2.3

Cancel the common factor.

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

Step 5.2.4

Rewrite the expression.

$\frac{x^{2}}{1}$

Step 5.2.5

Divide $x^{2}$ by $1$ .

$x^{2}$

$x^{2}$

$x^{2}$

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