Solve for B (2pi)/B=2

$\frac{2 π}{B} = 2$

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.

$B, 1$

The LCM of one and any expression is the expression.

$B$

Multiply each term in $\frac{2 π}{B} = 2$ by $B$ to eliminate the fractions.

Multiply each term in $\frac{2 π}{B} = 2$ by $B$ .

$\frac{2 π}{B} B = 2 B$

Simplify the left side.

Cancel the common factor of $B$ .

Cancel the common factor.

$\frac{2 π}{B} B = 2 B$

Rewrite the expression.

$2 π = 2 B$

Solve the equation.

Rewrite the equation as $2 B = 2 π$ .

$2 B = 2 π$

Divide each term in $2 B = 2 π$ by $2$ and simplify.

Divide each term in $2 B = 2 π$ by $2$ .

$\frac{2 B}{2} = \frac{2 π}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 B}{2} = \frac{2 π}{2}$

Divide $B$ by $1$ .

$B = \frac{2 π}{2}$

Simplify the right side.

Cancel the common factor of $2$ .

Cancel the common factor.

$B = \frac{2 π}{2}$

Divide $π$ by $1$ .

$B = π$

The result can be shown in multiple forms.

Exact Form:

$B = π$

Decimal Form:

$B = 3.14159265 \dots$