Solve for T I/T=Pr

$\frac{I}{T} = P r$

Step 1

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 2

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 3

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 $1$ .

$T = \frac{I}{P r}$