Pre-Algebra Examples

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

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

Step 1

Combine the numerators over the common denominator.

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

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

Step 2

Combine the opposite terms in

4 x - 5 + 4 x + 5

$4 x - 5 + 4 x + 5$ .

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Step 2.1

Add

- 5

$- 5$ and

5

$5$ .

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

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

Step 2.2

Add

4 x + 4 x

$4 x + 4 x$ and

0

$0$ .

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

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

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

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

Step 3

Add

4 x

$4 x$ and

4 x

$4 x$ .

\frac{8 x}{2}

$\frac{8 x}{2}$

Step 4

Cancel the common factor of

8

$8$ and

2

$2$ .

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Step 4.1

Factor

2

$2$ out of

8 x

$8 x$ .

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

2

$2$ out of

2

$2$ .

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

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

Step 4.2.2

Cancel the common factor.

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

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

Step 4.2.3

Rewrite the expression.

\frac{4 x}{1}

$\frac{4 x}{1}$

Step 4.2.4

Divide

4 x

$4 x$ by

1

$1$ .

4 x

$4 x$

4 x

$4 x$

4 x

$4 x$

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

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