Solve for t A=P+Prt

$A = P + P r t$

Step 1

Rewrite the equation as $P + P r t = A$ .

$P + P r t = A$

Step 2

Subtract $P$ from both sides of the equation.

$P r t = A - P$

Step 3

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

Divide each term in $P r t = A - P$ by $P r$ .

$\frac{P r t}{P r} = \frac{A}{P r} + \frac{- P}{P r}$

Simplify the left side.

Cancel the common factor of $P$ .

Cancel the common factor.

$\frac{P r t}{P r} = \frac{A}{P r} + \frac{- P}{P r}$

Rewrite the expression.

$\frac{r t}{r} = \frac{A}{P r} + \frac{- P}{P r}$

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r t}{r} = \frac{A}{P r} + \frac{- P}{P r}$

Divide $t$ by $1$ .

$t = \frac{A}{P r} + \frac{- P}{P r}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $P$ .

Cancel the common factor.

$t = \frac{A}{P r} + \frac{- P}{P r}$

Rewrite the expression.

$t = \frac{A}{P r} + \frac{- 1}{r}$

Move the negative in front of the fraction.

$t = \frac{A}{P r} - \frac{1}{r}$