Solve for a r=(pl)/a

$r = \frac{p l}{a}$

Step 1

Rewrite the equation as $\frac{p l}{a} = r$ .

$\frac{p l}{a} = r$

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 $\frac{p l}{a} = r$ by $a$ to eliminate the fractions.

Multiply each term in $\frac{p l}{a} = r$ by $a$ .

$\frac{p l}{a} a = r a$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{p l}{a} a = r a$

Rewrite the expression.

$p l = r a$

Step 4

Solve the equation.

Rewrite the equation as $r a = p l$ .

$r a = p l$

Divide each term in $r a = p l$ by $r$ and simplify.

Divide each term in $r a = p l$ by $r$ .

$\frac{r a}{r} = \frac{p l}{r}$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r a}{r} = \frac{p l}{r}$

Divide $a$ by $1$ .

$a = \frac{p l}{r}$