Solve for t i=Prt

$i = P r t$

Step 1

Rewrite the equation as $P r t = i$ .

$P r t = i$

Step 2

Divide each term in $P r t = i$ by $P r$ and simplify.

Divide each term in $P r t = i$ by $P r$ .

$\frac{P r t}{P r} = \frac{i}{P r}$

Simplify the left side.

Cancel the common factor of $P$ .

Cancel the common factor.

$\frac{P r t}{P r} = \frac{i}{P r}$

Rewrite the expression.

$\frac{r t}{r} = \frac{i}{P r}$

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r t}{r} = \frac{i}{P r}$

Divide $t$ by $1$ .

$t = \frac{i}{P r}$