Pre-Algebra Examples

$\frac{4}{10} + \frac{40}{100}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $4$ and $10$ .

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Step 1.1.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{10} + \frac{40}{100}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{40}{100}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{40}{100}$

Step 1.1.2.3

Rewrite the expression.

$\frac{2}{5} + \frac{40}{100}$

$\frac{2}{5} + \frac{40}{100}$

$\frac{2}{5} + \frac{40}{100}$

Step 1.2

Cancel the common factor of $40$ and $100$ .

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Step 1.2.1

Factor $20$ out of $40$ .

$\frac{2}{5} + \frac{20 (2)}{100}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $20$ out of $100$ .

$\frac{2}{5} + \frac{20 \cdot 2}{20 \cdot 5}$

Step 1.2.2.2

Cancel the common factor.

$\frac{2}{5} + \frac{20 \cdot 2}{20 \cdot 5}$

Step 1.2.2.3

Rewrite the expression.

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

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

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

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

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Add $2$ and $2$ .

$\frac{4}{5}$

$\frac{4}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$

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