Solve for q 2/3q=18

$\frac{2}{3} q = 18$

Step 1

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} (\frac{2}{3} q) = \frac{3}{2} \cdot 18$

Step 2

Simplify both sides of the equation.

Simplify the left side.

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

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

$\frac{3}{2} \cdot \frac{2 q}{3} = \frac{3}{2} \cdot 18$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 q}{3} = \frac{3}{2} \cdot 18$

Rewrite the expression.

$\frac{1}{2} (2 q) = \frac{3}{2} \cdot 18$

Cancel the common factor of $2$ .

Factor $2$ out of $2 q$ .

$\frac{1}{2} (2 (q)) = \frac{3}{2} \cdot 18$

Cancel the common factor.

$\frac{1}{2} (2 q) = \frac{3}{2} \cdot 18$

Rewrite the expression.

$q = \frac{3}{2} \cdot 18$

Simplify the right side.

Simplify $\frac{3}{2} \cdot 18$ .

Cancel the common factor of $2$ .

Factor $2$ out of $18$ .

$q = \frac{3}{2} \cdot (2 (9))$

Cancel the common factor.

$q = \frac{3}{2} \cdot (2 \cdot 9)$

Rewrite the expression.

$q = 3 \cdot 9$

Multiply $3$ by $9$ .

$q = 27$