Solve for a u=k/a ; for a

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

Step 1

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

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

Step 2

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.

$a, 1$

The LCM of one and any expression is the expression.

$a$

Step 3

Multiply each term in $\frac{k}{a} = u$ by $a$ to eliminate the fractions.

Multiply each term in $\frac{k}{a} = u$ by $a$ .

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

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

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

Rewrite the expression.

$k = u a$

Step 4

Solve the equation.

Rewrite the equation as $u a = k$ .

$u a = k$

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

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

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

Simplify the left side.

Cancel the common factor of $u$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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