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Solve for z 6/10=z/15

$\frac{6}{10} = \frac{z}{15}$

Step 1

Rewrite the equation as $\frac{z}{15} = \frac{6}{10}$ .

$\frac{z}{15} = \frac{6}{10}$

Step 2

Multiply both sides of the equation by $15$ .

$15 \frac{z}{15} = 15 (\frac{6}{10})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$15 \frac{z}{15} = 15 (\frac{6}{10})$

Rewrite the expression.

$z = 15 (\frac{6}{10})$

$z = 15 (\frac{6}{10})$

$z = 15 (\frac{6}{10})$

Simplify the right side.

Simplify $15 (\frac{6}{10})$ .

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$z = 5 (3) \frac{6}{10}$

Factor $5$ out of $10$ .

$z = 5 \cdot 3 \frac{6}{5 \cdot 2}$

Cancel the common factor.

$z = 5 \cdot 3 \frac{6}{5 \cdot 2}$

Rewrite the expression.

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

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

Combine $3$ and $\frac{6}{2}$ .

$z = \frac{3 \cdot 6}{2}$

Simplify the expression.

Multiply $3$ by $6$ .

$z = \frac{18}{2}$

Divide $18$ by $2$ .

$z = 9$

$z = 9$

$z = 9$

$z = 9$

$z = 9$

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