Solve for r I=prt for r

$I = p r t$ for $r$

Rewrite the equation as $p r t = I$ .

$p r t = I$

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

Divide each term in $p r t = I$ by $p t$ .

$\frac{p r t}{p t} = \frac{I}{p t}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r t}{p t} = \frac{I}{p t}$

Rewrite the expression.

$\frac{r t}{t} = \frac{I}{p t}$

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{r t}{t} = \frac{I}{p t}$

Divide $r$ by $1$ .

$r = \frac{I}{p t}$