Solve for l v/(lw)=h

$\frac{v}{l w} = h$

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.

$l w, 1$

The LCM of one and any expression is the expression.

$l w$

Step 2

Multiply each term in $\frac{v}{l w} = h$ by $l w$ to eliminate the fractions.

Multiply each term in $\frac{v}{l w} = h$ by $l w$ .

$\frac{v}{l w} (l w) = h (l w)$

Simplify the left side.

Cancel the common factor of $l w$ .

Cancel the common factor.

$\frac{v}{l w} (l w) = h (l w)$

Rewrite the expression.

$v = h (l w)$

Simplify the right side.

Remove parentheses.

$v = h l w$

Step 3

Solve the equation.

Rewrite the equation as $h l w = v$ .

$h l w = v$

Divide each term in $h l w = v$ by $h w$ and simplify.

Divide each term in $h l w = v$ by $h w$ .

$\frac{h l w}{h w} = \frac{v}{h w}$

Simplify the left side.

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{h l w}{h w} = \frac{v}{h w}$

Rewrite the expression.

$\frac{l w}{w} = \frac{v}{h w}$

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{l w}{w} = \frac{v}{h w}$

Divide $l$ by $1$ .

$l = \frac{v}{h w}$