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Pre-Algebra Examples

\frac{4}{10} + \frac{4}{5}

$\frac{4}{10} + \frac{4}{5}$

Step 1

Cancel the common factor of

4

$4$ and

10

$10$ .

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Step 1.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 (2)}{10} + \frac{4}{5}

$\frac{2 (2)}{10} + \frac{4}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 2}{2 \cdot 5} + \frac{4}{5}

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{4}{5}$

Step 1.2.2

Cancel the common factor.

\frac{2 \cdot 2}{2 \cdot 5} + \frac{4}{5}

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{4}{5}$

Step 1.2.3

Rewrite the expression.

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

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

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

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

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

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

Step 2

Combine the numerators over the common denominator.

\frac{2 + 4}{5}

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

Step 3

Add

2

$2$ and

4

$4$ .

\frac{6}{5}

$\frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{6}{5}

$\frac{6}{5}$

Decimal Form:

1.2

$1.2$

Mixed Number Form:

1 \frac{1}{5}

$1 \frac{1}{5}$

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

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