Solve for c (ab)/c=de

$\frac{a b}{c} = d e$

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.

$c, 1$

The LCM of one and any expression is the expression.

$c$

Step 2

Multiply each term in $\frac{a b}{c} = d e$ by $c$ to eliminate the fractions.

Multiply each term in $\frac{a b}{c} = d e$ by $c$ .

$\frac{a b}{c} c = d e c$

Simplify the left side.

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{a b}{c} c = d e c$

Rewrite the expression.

$a b = d e c$

Step 3

Solve the equation.

Rewrite the equation as $d e c = a b$ .

$d e c = a b$

Divide each term in $d e c = a b$ by $d e$ and simplify.

Divide each term in $d e c = a b$ by $d e$ .

$\frac{d e c}{d e} = \frac{a b}{d e}$

Simplify the left side.

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{d e c}{d e} = \frac{a b}{d e}$

Rewrite the expression.

$\frac{e c}{e} = \frac{a b}{d e}$

Cancel the common factor of $e$ .

Cancel the common factor.

$\frac{e c}{e} = \frac{a b}{d e}$

Divide $c$ by $1$ .

$c = \frac{a b}{d e}$