Solve for a b=h/a for a

$b = \frac{h}{a}$ for $a$

Step 1

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

$\frac{h}{a} = b$

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.

$a, 1$

The LCM of one and any expression is the expression.

$a$

Step 3

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

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

$\frac{h}{a} a = b a$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{h}{a} a = b a$

Rewrite the expression.

$h = b a$

Step 4

Solve the equation.

Rewrite the equation as $b a = h$ .

$b a = h$

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

Divide each term in $b a = h$ by $b$ .

$\frac{b a}{b} = \frac{h}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b a}{b} = \frac{h}{b}$

Divide $a$ by $1$ .

$a = \frac{h}{b}$