Solve for p 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

Factor $p$ out of $p + p r t$ .

Factor $p$ out of $p^{1}$ .

$p \cdot 1 + p r t = a$

Factor $p$ out of $p r t$ .

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

Factor $p$ out of $p \cdot 1 + p (r t)$ .

$p (1 + r t) = a$

Step 3

Divide each term in $p (1 + r t) = a$ by $1 + r t$ and simplify.

Divide each term in $p (1 + r t) = a$ by $1 + r t$ .

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

Simplify the left side.

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

Cancel the common factor.

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

Divide $p$ by $1$ .

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