Precalculus Examples

\frac{π}{3} + 2 π

$\frac{π}{3} + 2 π$

Step 1

To write

2 π

$2 π$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{π}{3} + 2 π \cdot \frac{3}{3}

$\frac{π}{3} + 2 π \cdot \frac{3}{3}$

Step 2

Combine fractions.

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Step 2.1

Combine

2 π

$2 π$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{π}{3} + \frac{2 π \cdot 3}{3}

$\frac{π}{3} + \frac{2 π \cdot 3}{3}$

Step 2.2

Combine the numerators over the common denominator.

\frac{π + 2 π \cdot 3}{3}

$\frac{π + 2 π \cdot 3}{3}$

\frac{π + 2 π \cdot 3}{3}

$\frac{π + 2 π \cdot 3}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply

3

$3$ by

2

$2$ .

\frac{π + 6 π}{3}

$\frac{π + 6 π}{3}$

Step 3.2

Add

π

$π$ and

6 π

$6 π$ .

\frac{7 π}{3}

$\frac{7 π}{3}$

\frac{7 π}{3}

$\frac{7 π}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{7 π}{3}

$\frac{7 π}{3}$

Decimal Form:

7.33038285 \dots

$7.33038285 \dots$

\frac{π}{3} + 2 π

$\frac{π}{3} + 2 π$

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