Precalculus Examples

$\frac{7 π}{6} - 2 π$

Step 1

To write $- 2 π$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{7 π}{6} - 2 π \cdot \frac{6}{6}$

Step 2

Combine fractions.

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Step 2.1

Combine $- 2 π$ and $\frac{6}{6}$ .

$\frac{7 π}{6} + \frac{- 2 π \cdot 6}{6}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{7 π - 2 π \cdot 6}{6}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $6$ by $- 2$ .

$\frac{7 π - 12 π}{6}$

Step 3.2

Subtract $12 π$ from $7 π$ .

$\frac{- 5 π}{6}$

Step 4

Move the negative in front of the fraction.

$- \frac{5 π}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5 π}{6}$

Decimal Form:

$- 2.61799387 \dots$