Precalculus Examples

$\frac{1}{3} x = \frac{2}{15}$

Step 1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} x) = 3 (\frac{2}{15})$

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

Simplify $3 (\frac{1}{3} x)$ .

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Step 2.1.1.1

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

$3 \frac{x}{3} = 3 (\frac{2}{15})$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$3 \frac{x}{3} = 3 (\frac{2}{15})$

Step 2.1.1.2.2

Rewrite the expression.

$x = 3 (\frac{2}{15})$

$x = 3 (\frac{2}{15})$

$x = 3 (\frac{2}{15})$

$x = 3 (\frac{2}{15})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Factor $3$ out of $15$ .

$x = 3 \frac{2}{3 (5)}$

Step 2.2.1.2

Cancel the common factor.

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

Step 2.2.1.3

Rewrite the expression.

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.4$

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