Solve for l a=r/(2l)

$a = \frac{r}{2 l}$

Step 1

Rewrite the equation as $\frac{r}{2 l} = a$ .

$\frac{r}{2 l} = a$

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.

$2 l, 1$

The LCM of one and any expression is the expression.

$2 l$

Step 3

Multiply each term in $\frac{r}{2 l} = a$ by $2 l$ to eliminate the fractions.

Multiply each term in $\frac{r}{2 l} = a$ by $2 l$ .

$\frac{r}{2 l} (2 l) = a (2 l)$

Simplify the left side.

Rewrite using the commutative property of multiplication.

$2 \frac{r}{2 l} l = a (2 l)$

Cancel the common factor of $2$ .

Factor $2$ out of $2 l$ .

$2 \frac{r}{2 (l)} l = a (2 l)$

Cancel the common factor.

$2 \frac{r}{2 l} l = a (2 l)$

Rewrite the expression.

$\frac{r}{l} l = a (2 l)$

Cancel the common factor of $l$ .

Cancel the common factor.

$\frac{r}{l} l = a (2 l)$

Rewrite the expression.

$r = a (2 l)$

Simplify the right side.

Rewrite using the commutative property of multiplication.

$r = 2 a l$

Step 4

Solve the equation.

Rewrite the equation as $2 a l = r$ .

$2 a l = r$

Divide each term in $2 a l = r$ by $2 a$ and simplify.

Divide each term in $2 a l = r$ by $2 a$ .

$\frac{2 a l}{2 a} = \frac{r}{2 a}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a l}{2 a} = \frac{r}{2 a}$

Rewrite the expression.

$\frac{a l}{a} = \frac{r}{2 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a l}{a} = \frac{r}{2 a}$

Divide $l$ by $1$ .

$l = \frac{r}{2 a}$

Solve for l a=r/(2l)

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