Evaluate Using the Given Value h=(2A)/b ; b

$h = \frac{2 A}{b}$ ; $b$

Step 1

Rewrite the equation as $\frac{2 A}{b} = h$ .

$\frac{2 A}{b} = h$

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.

$b, 1$

The LCM of one and any expression is the expression.

$b$

Step 3

Multiply each term in $\frac{2 A}{b} = h$ by $b$ to eliminate the fractions.

Multiply each term in $\frac{2 A}{b} = h$ by $b$ .

$\frac{2 A}{b} b = h b$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{2 A}{b} b = h b$

Rewrite the expression.

$2 A = h b$

Step 4

Solve the equation.

Rewrite the equation as $h b = 2 A$ .

$h b = 2 A$

Divide each term in $h b = 2 A$ by $h$ and simplify.

Divide each term in $h b = 2 A$ by $h$ .

$\frac{h b}{h} = \frac{2 A}{h}$

Simplify the left side.

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{h b}{h} = \frac{2 A}{h}$

Divide $b$ by $1$ .

$b = \frac{2 A}{h}$