Precalculus Examples

$\frac{13 + 4 x}{8 x} - \frac{13}{8 x}$

Step 1

Combine the numerators over the common denominator.

$\frac{13 + 4 x - 13}{8 x}$

Step 2

Combine the opposite terms in $13 + 4 x - 13$ .

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Step 2.1

Subtract $13$ from $13$ .

$\frac{4 x + 0}{8 x}$

Step 2.2

Add $4 x$ and $0$ .

$\frac{4 x}{8 x}$

$\frac{4 x}{8 x}$

Step 3

Cancel the common factor of $4$ and $8$ .

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Step 3.1

Factor $4$ out of $4 x$ .

$\frac{4 (x)}{8 x}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $8 x$ .

$\frac{4 (x)}{4 (2 x)}$

Step 3.2.2

Cancel the common factor.

$\frac{4 x}{4 (2 x)}$

Step 3.2.3

Rewrite the expression.

$\frac{x}{2 x}$

$\frac{x}{2 x}$

$\frac{x}{2 x}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{x}{2 x}$

Step 4.2

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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