Pre-Algebra Examples

$\frac{4 x - 5}{2} + \frac{4 x + 5}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 x - 5 + 4 x + 5}{2}$

Step 2

Combine the opposite terms in $4 x - 5 + 4 x + 5$ .

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Step 2.1

Add $- 5$ and $5$ .

$\frac{4 x + 4 x + 0}{2}$

Step 2.2

Add $4 x + 4 x$ and $0$ .

$\frac{4 x + 4 x}{2}$

Step 3

Add $4 x$ and $4 x$ .

$\frac{8 x}{2}$

Step 4

Cancel the common factor of $8$ and $2$ .

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Step 4.1

Factor $2$ out of $8 x$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (4 x)}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (4 x)}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{4 x}{1}$

Step 4.2.4

Divide $4 x$ by $1$ .

$4 x$