Solve for v 4=8/v

$4 = \frac{8}{v}$

Step 1

Rewrite the equation as $\frac{8}{v} = 4$ .

$\frac{8}{v} = 4$

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 $\frac{8}{v} = 4$ by $v$ to eliminate the fractions.

Multiply each term in $\frac{8}{v} = 4$ by $v$ .

$\frac{8}{v} v = 4 v$

Simplify the left side.

Cancel the common factor of $v$ .

Cancel the common factor.

$\frac{8}{v} v = 4 v$

Rewrite the expression.

$8 = 4 v$

Step 4

Solve the equation.

Rewrite the equation as $4 v = 8$ .

$4 v = 8$

Divide each term in $4 v = 8$ by $4$ and simplify.

Divide each term in $4 v = 8$ by $4$ .

$\frac{4 v}{4} = \frac{8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 v}{4} = \frac{8}{4}$

Divide $v$ by $1$ .

$v = \frac{8}{4}$

Simplify the right side.

Divide $8$ by $4$ .

$v = 2$