Solve for z 2/3=z/15

$\frac{2}{3} = \frac{z}{15}$

Step 1

Rewrite the equation as $\frac{z}{15} = \frac{2}{3}$ .

$\frac{z}{15} = \frac{2}{3}$

Step 2

Multiply both sides of the equation by $15$ .

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

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $15 (\frac{2}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

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

Cancel the common factor.

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

Rewrite the expression.

$z = 5 \cdot 2$

Multiply $5$ by $2$ .

$z = 10$