Pre-Algebra Examples

$\frac{36}{6 x} + \frac{25}{5 x}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $36$ and $6$ .

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Step 1.1.1

Factor $6$ out of $36$ .

$\frac{6 \cdot 6}{6 x} + \frac{25}{5 x}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $6$ out of $6 x$ .

$\frac{6 \cdot 6}{6 (x)} + \frac{25}{5 x}$

Step 1.1.2.2

Cancel the common factor.

$\frac{6 \cdot 6}{6 x} + \frac{25}{5 x}$

Step 1.1.2.3

Rewrite the expression.

$\frac{6}{x} + \frac{25}{5 x}$

$\frac{6}{x} + \frac{25}{5 x}$

$\frac{6}{x} + \frac{25}{5 x}$

Step 1.2

Cancel the common factor of $25$ and $5$ .

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Step 1.2.1

Factor $5$ out of $25$ .

$\frac{6}{x} + \frac{5 \cdot 5}{5 x}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $5$ out of $5 x$ .

$\frac{6}{x} + \frac{5 \cdot 5}{5 (x)}$

Step 1.2.2.2

Cancel the common factor.

$\frac{6}{x} + \frac{5 \cdot 5}{5 x}$

Step 1.2.2.3

Rewrite the expression.

$\frac{6}{x} + \frac{5}{x}$

$\frac{6}{x} + \frac{5}{x}$

$\frac{6}{x} + \frac{5}{x}$

$\frac{6}{x} + \frac{5}{x}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{6 + 5}{x}$

Step 2.2

Add $6$ and $5$ .

$\frac{11}{x}$

$\frac{11}{x}$

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