Precalculus Examples

$\frac{7 π}{6}$

Step 1

The supplement of $\frac{7 π}{6}$ is the angle that when added to $\frac{7 π}{6}$ forms a straight angle ( $π$ radians).

$π - \frac{7 π}{6}$

Step 2

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

$π \cdot \frac{6}{6} - \frac{7 π}{6}$

Step 3

Combine fractions.

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Step 3.1

Combine $π$ and $\frac{6}{6}$ .

$\frac{π \cdot 6}{6} - \frac{7 π}{6}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{π \cdot 6 - 7 π}{6}$

Step 4

Simplify the numerator.

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Step 4.1

Move $6$ to the left of $π$ .

$\frac{6 \cdot π - 7 π}{6}$

Step 4.2

Subtract $7 π$ from $6 π$ .

$\frac{- π}{6}$

Step 5

Move the negative in front of the fraction.

$- \frac{π}{6}$