Finite Math Examples

$\frac{x}{2} = \frac{5}{15}$

Step 1

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (\frac{5}{15})$

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 $2$ .

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Step 2.1.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 (\frac{5}{15})$

Step 2.1.1.2

Rewrite the expression.

$x = 2 (\frac{5}{15})$

$x = 2 (\frac{5}{15})$

$x = 2 (\frac{5}{15})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $2 (\frac{5}{15})$ .

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Step 2.2.1.1

Cancel the common factor of $5$ and $15$ .

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Step 2.2.1.1.1

Factor $5$ out of $5$ .

$x = 2 \frac{5 (1)}{15}$

Step 2.2.1.1.2

Cancel the common factors.

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Step 2.2.1.1.2.1

Factor $5$ out of $15$ .

$x = 2 \frac{5 \cdot 1}{5 \cdot 3}$

Step 2.2.1.1.2.2

Cancel the common factor.

$x = 2 \frac{5 \cdot 1}{5 \cdot 3}$

Step 2.2.1.1.2.3

Rewrite the expression.

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

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

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

Step 2.2.1.2

Combine $2$ and $\frac{1}{3}$ .

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{6}$

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