Pre-Algebra Examples

$6 x = \frac{2}{3}$

Step 1

Divide each term in $6 x = \frac{2}{3}$ by $6$ .

$\frac{6 x}{6} = \frac{\frac{2}{3}}{6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{\frac{2}{3}}{6}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{2}{3}}{6}$

$x = \frac{\frac{2}{3}}{6}$

$x = \frac{\frac{2}{3}}{6}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{2}{3} \cdot \frac{1}{6}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $6$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

Step 3.3

Multiply $\frac{1}{3}$ by $\frac{1}{3}$ .

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

Step 3.4

Multiply $3$ by $3$ .

$x = \frac{1}{9}$

$x = \frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{9}$

Decimal Form:

$x = 0.\overline{1}$

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