Solve for m p=(rt)/(mv)

$p = \frac{r t}{m v}$

Step 1

Rewrite the equation as $\frac{r t}{m v} = p$ .

$\frac{r t}{m v} = p$

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.

$m v, 1$

The LCM of one and any expression is the expression.

$m v$

Step 3

Multiply each term in $\frac{r t}{m v} = p$ by $m v$ to eliminate the fractions.

Multiply each term in $\frac{r t}{m v} = p$ by $m v$ .

$\frac{r t}{m v} (m v) = p (m v)$

Simplify the left side.

Cancel the common factor of $m v$ .

Cancel the common factor.

$\frac{r t}{m v} (m v) = p (m v)$

Rewrite the expression.

$r t = p (m v)$

Simplify the right side.

Remove parentheses.

$r t = p m v$

Step 4

Solve the equation.

Rewrite the equation as $p m v = r t$ .

$p m v = r t$

Divide each term in $p m v = r t$ by $p v$ and simplify.

Divide each term in $p m v = r t$ by $p v$ .

$\frac{p m v}{p v} = \frac{r t}{p v}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p m v}{p v} = \frac{r t}{p v}$

Rewrite the expression.

$\frac{m v}{v} = \frac{r t}{p v}$

Cancel the common factor of $v$ .

Cancel the common factor.

$\frac{m v}{v} = \frac{r t}{p v}$

Divide $m$ by $1$ .

$m = \frac{r t}{p v}$