Solve for t Pr=i/t

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

Step 1

Rewrite the equation as $\frac{i}{t} = P r$ .

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

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$t, 1$

The LCM of one and any expression is the expression.

$t$

Step 3

Multiply each term in $\frac{i}{t} = P r$ by $t$ to eliminate the fractions.

Multiply each term in $\frac{i}{t} = P r$ by $t$ .

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

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

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

Rewrite the expression.

$i = P r t$

Step 4

Solve the equation.

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

$P r t = i$

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 $1$ .

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