Solve for b (cd)/b=a

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

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.

$b, 1$

The LCM of one and any expression is the expression.

$b$

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

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

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

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

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

Rewrite the expression.

$c d = a b$

Solve the equation.

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

$a b = c d$

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

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

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

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

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

Divide $b$ by $1$ .

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