Solve for a u=(ak)/b ; for a

$u = \frac{a k}{b}$ ; for $a$

Step 1

Rewrite the equation as $\frac{a k}{b} = u$ .

$\frac{a k}{b} = u$

Step 2

Multiply both sides by $b$ .

$\frac{a k}{b} b = u b$

Step 3

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{a k}{b} b = u b$

Rewrite the expression.

$a k = u b$

Step 4

Divide each term in $a k = u b$ by $k$ and simplify.

Divide each term in $a k = u b$ by $k$ .

$\frac{a k}{k} = \frac{u b}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{a k}{k} = \frac{u b}{k}$

Divide $a$ by $1$ .

$a = \frac{u b}{k}$