Solve for r p=A/(1+rt)

$p = \frac{A}{1 + r t}$

Rewrite the equation as $\frac{A}{1 + r t} = p$ .

$\frac{A}{1 + r t} = p$

Solve for $r$ .

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Multiply each term by $1 + r t$ and simplify.

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Multiply each term in $\frac{A}{1 + r t} = p$ by $1 + r t$ .

$\frac{A}{1 + r t} \cdot (1 + r t) = p \cdot (1 + r t)$

Cancel the common factor of $1 + r t$ .

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Cancel the common factor.

$\frac{A}{1 + r t} \cdot (1 + r t) = p \cdot (1 + r t)$

Rewrite the expression.

$A = p \cdot (1 + r t)$

Simplify $p \cdot (1 + r t)$ .

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Apply the distributive property.

$A = p \cdot 1 + p (r t)$

Multiply $p$ by $1$ .

$A = p + p r t$

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

$p + p r t = A$

Subtract $p$ from both sides of the equation.

$p r t = A - p$

Divide each term by $p t$ and simplify.

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

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

Simplify $\frac{p r t}{p t}$ .

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Cancel the common factor of $p$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $t$ .

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Cancel the common factor.

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

Divide $r$ by $1$ .

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

Simplify each term.

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Cancel the common factor of $p$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Solve for r p=A/(1+rt)

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