Precalculus Examples

$\frac{2 π}{b} = 1$

Step 1

Find the LCD of the terms in the equation.

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Step 1.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$b, 1$

Step 1.2

The LCM of one and any expression is the expression.

$b$

Step 2

Multiply each term in $\frac{2 π}{b} = 1$ by $b$ to eliminate the fractions.

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Step 2.1

Multiply each term in $\frac{2 π}{b} = 1$ by $b$ .

$\frac{2 π}{b} b = 1 b$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $b$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 π}{b} b = 1 b$

Step 2.2.1.2

Rewrite the expression.

$2 π = 1 b$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply $b$ by $1$ .

$2 π = b$

Step 3

Rewrite the equation as $b = 2 π$ .

$b = 2 π$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = 2 π$

Decimal Form:

$b = 6.28318530 \dots$