Solve for z 7.225/z=85

$\frac{7.225}{z} = 85$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$z, 1$

The LCM of one and any expression is the expression.

$z$

Step 2

Multiply each term in $\frac{7.225}{z} = 85$ by $z$ to eliminate the fractions.

Multiply each term in $\frac{7.225}{z} = 85$ by $z$ .

$\frac{7.225}{z} z = 85 z$

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{7.225}{z} z = 85 z$

Rewrite the expression.

$7.225 = 85 z$

Step 3

Solve the equation.

Rewrite the equation as $85 z = 7.225$ .

$85 z = 7.225$

Divide each term in $85 z = 7.225$ by $85$ and simplify.

Divide each term in $85 z = 7.225$ by $85$ .

$\frac{85 z}{85} = \frac{7.225}{85}$

Simplify the left side.

Cancel the common factor of $85$ .

Cancel the common factor.

$\frac{85 z}{85} = \frac{7.225}{85}$

Divide $z$ by $1$ .

$z = \frac{7.225}{85}$

Simplify the right side.

Divide $7.225$ by $85$ .

$z = 0.085$