Pre-Algebra Examples

$\frac{3 x - 6}{24 x} + \frac{3 x + 6}{24 x}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 x - 6 + 3 x + 6}{24 x}$

Step 2

Combine the opposite terms in $3 x - 6 + 3 x + 6$ .

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Step 2.1

Add $- 6$ and $6$ .

$\frac{3 x + 3 x + 0}{24 x}$

Step 2.2

Add $3 x + 3 x$ and $0$ .

$\frac{3 x + 3 x}{24 x}$

Step 3

Add $3 x$ and $3 x$ .

$\frac{6 x}{24 x}$

Step 4

Cancel the common factor of $6$ and $24$ .

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Step 4.1

Factor $6$ out of $6 x$ .

$\frac{6 (x)}{24 x}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $6$ out of $24 x$ .

$\frac{6 (x)}{6 (4 x)}$

Step 4.2.2

Cancel the common factor.

$\frac{6 x}{6 (4 x)}$

Step 4.2.3

Rewrite the expression.

$\frac{x}{4 x}$

Step 5

Cancel the common factor of $x$ .

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Step 5.1

Cancel the common factor.

$\frac{x}{4 x}$

Step 5.2

Rewrite the expression.

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$