Solve for v d=m/v

$d = \frac{m}{v}$

Step 1

Rewrite the equation as $\frac{m}{v} = d$ .

$\frac{m}{v} = d$

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.

$v, 1$

The LCM of one and any expression is the expression.

$v$

Step 3

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

Multiply each term in $\frac{m}{v} = d$ by $v$ .

$\frac{m}{v} v = d v$

Simplify the left side.

Cancel the common factor of $v$ .

Cancel the common factor.

$\frac{m}{v} v = d v$

Rewrite the expression.

$m = d v$

Step 4

Solve the equation.

Rewrite the equation as $d v = m$ .

$d v = m$

Divide each term in $d v = m$ by $d$ and simplify.

Divide each term in $d v = m$ by $d$ .

$\frac{d v}{d} = \frac{m}{d}$

Simplify the left side.

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{d v}{d} = \frac{m}{d}$

Divide $v$ by $1$ .

$v = \frac{m}{d}$