Trigonometry Examples

$4 π - \frac{π}{3}$

Step 1

To write $4 π$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$4 π \cdot \frac{3}{3} - \frac{π}{3}$

Step 2

Combine fractions.

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Step 2.1

Combine $4 π$ and $\frac{3}{3}$ .

$\frac{4 π \cdot 3}{3} - \frac{π}{3}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{4 π \cdot 3 - π}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $3$ by $4$ .

$\frac{12 π - π}{3}$

Step 3.2

Subtract $π$ from $12 π$ .

$\frac{11 π}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11 π}{3}$

Decimal Form:

$11.51917306 \dots$