Solve for r s=p+Prt

$s = p + P r t$

Step 1

Rewrite the equation as $p + P r t = s$ .

$p + P r t = s$

Step 2

Subtract $p$ from both sides of the equation.

$P r t = s - p$

Step 3

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

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

$\frac{P r t}{P t} = \frac{s}{P t} + \frac{- p}{P t}$

Simplify the left side.

Cancel the common factor of $P$ .

Cancel the common factor.

$\frac{P r t}{P t} = \frac{s}{P t} + \frac{- p}{P t}$

Rewrite the expression.

$\frac{r t}{t} = \frac{s}{P t} + \frac{- p}{P t}$

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{r t}{t} = \frac{s}{P t} + \frac{- p}{P t}$

Divide $r$ by $1$ .

$r = \frac{s}{P t} + \frac{- p}{P t}$

Simplify the right side.

Move the negative in front of the fraction.

$r = \frac{s}{P t} - \frac{p}{P t}$