Solve for x 5/6=x/12

$\frac{5}{6} = \frac{x}{12}$

Step 1

Rewrite the equation as $\frac{x}{12} = \frac{5}{6}$ .

$\frac{x}{12} = \frac{5}{6}$

Step 2

Multiply both sides of the equation by $12$ .

$12 \frac{x}{12} = 12 (\frac{5}{6})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$12 \frac{x}{12} = 12 (\frac{5}{6})$

Rewrite the expression.

$x = 12 (\frac{5}{6})$

Simplify the right side.

Simplify $12 (\frac{5}{6})$ .

Cancel the common factor of $6$ .

Factor $6$ out of $12$ .

$x = 6 (2) \frac{5}{6}$

Cancel the common factor.

$x = 6 \cdot 2 \frac{5}{6}$

Rewrite the expression.

$x = 2 \cdot 5$

Multiply $2$ by $5$ .

$x = 10$