Solve for x 2/3=x/6

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

Step 1

Rewrite the equation as $\frac{x}{6} = \frac{2}{3}$ .

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

Step 2

Multiply both sides of the equation by $6$ .

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

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $6 (\frac{2}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x = 2 \cdot 2$

Multiply $2$ by $2$ .

$x = 4$