Pre-Algebra Examples

$\frac{x}{5} = \frac{14}{20}$

Step 1

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 (\frac{14}{20})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1

Cancel the common factor.

$5 \frac{x}{5} = 5 (\frac{14}{20})$

Step 2.1.1.2

Rewrite the expression.

$x = 5 (\frac{14}{20})$

$x = 5 (\frac{14}{20})$

$x = 5 (\frac{14}{20})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $5 (\frac{14}{20})$ .

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Step 2.2.1.1

Cancel the common factor of $5$ .

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Step 2.2.1.1.1

Factor $5$ out of $20$ .

$x = 5 \frac{14}{5 (4)}$

Step 2.2.1.1.2

Cancel the common factor.

$x = 5 \frac{14}{5 \cdot 4}$

Step 2.2.1.1.3

Rewrite the expression.

$x = \frac{14}{4}$

$x = \frac{14}{4}$

Step 2.2.1.2

Cancel the common factor of $14$ and $4$ .

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Step 2.2.1.2.1

Factor $2$ out of $14$ .

$x = \frac{2 (7)}{4}$

Step 2.2.1.2.2

Cancel the common factors.

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Step 2.2.1.2.2.1

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 7}{2 \cdot 2}$

Step 2.2.1.2.2.2

Cancel the common factor.

$x = \frac{2 \cdot 7}{2 \cdot 2}$

Step 2.2.1.2.2.3

Rewrite the expression.

$x = \frac{7}{2}$

$x = \frac{7}{2}$

$x = \frac{7}{2}$

$x = \frac{7}{2}$

$x = \frac{7}{2}$

$x = \frac{7}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{2}$

Decimal Form:

$x = 3.5$

Mixed Number Form:

$x = 3 \frac{1}{2}$

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