Solve for w (12ds)/w=cd

$\frac{12 d s}{w} = c d$

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.

$w, 1$

The LCM of one and any expression is the expression.

$w$

Multiply each term in $\frac{12 d s}{w} = c d$ by $w$ to eliminate the fractions.

Multiply each term in $\frac{12 d s}{w} = c d$ by $w$ .

$\frac{12 d s}{w} w = c d w$

Simplify the left side.

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{12 d s}{w} w = c d w$

Rewrite the expression.

$12 d s = c d w$

Solve the equation.

Rewrite the equation as $c d w = 12 d s$ .

$c d w = 12 d s$

Divide each term in $c d w = 12 d s$ by $c d$ and simplify.

Divide each term in $c d w = 12 d s$ by $c d$ .

$\frac{c d w}{c d} = \frac{12 d s}{c d}$

Simplify the left side.

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{c d w}{c d} = \frac{12 d s}{c d}$

Rewrite the expression.

$\frac{d w}{d} = \frac{12 d s}{c d}$

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{d w}{d} = \frac{12 d s}{c d}$

Divide $w$ by $1$ .

$w = \frac{12 d s}{c d}$

Simplify the right side.

Cancel the common factor of $d$ .

Cancel the common factor.

$w = \frac{12 d s}{c d}$

Rewrite the expression.

$w = \frac{12 s}{c}$