Solve for a G=(ab)/z

$G = \frac{a b}{z}$

Step 1

Rewrite the equation as $\frac{a b}{z} = G$ .

$\frac{a b}{z} = G$

Step 2

Multiply both sides by $z$ .

$\frac{a b}{z} z = G z$

Step 3

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{a b}{z} z = G z$

Rewrite the expression.

$a b = G z$

Step 4

Divide each term in $a b = G z$ by $b$ and simplify.

Divide each term in $a b = G z$ by $b$ .

$\frac{a b}{b} = \frac{G z}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{a b}{b} = \frac{G z}{b}$

Divide $a$ by $1$ .

$a = \frac{G z}{b}$