Solve for I r=e/I

$r = \frac{e}{I}$

Step 1

Rewrite the equation as $\frac{e}{I} = r$ .

$\frac{e}{I} = r$

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.

$I, 1$

The LCM of one and any expression is the expression.

$I$

Step 3

Multiply each term in $\frac{e}{I} = r$ by $I$ to eliminate the fractions.

Multiply each term in $\frac{e}{I} = r$ by $I$ .

$\frac{e}{I} I = r I$

Simplify the left side.

Cancel the common factor of $I$ .

Cancel the common factor.

$\frac{e}{I} I = r I$

Rewrite the expression.

$e = r I$

Step 4

Solve the equation.

Rewrite the equation as $r I = e$ .

$r I = e$

Divide each term in $r I = e$ by $r$ and simplify.

Divide each term in $r I = e$ by $r$ .

$\frac{r I}{r} = \frac{e}{r}$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r I}{r} = \frac{e}{r}$

Divide $I$ by $1$ .

$I = \frac{e}{r}$