Find the Supplement (9pi)/10

$\frac{9 π}{10}$

Step 1

The supplement of $\frac{9 π}{10}$ is the angle that when added to $\frac{9 π}{10}$ forms a straight angle ( $π$ radians).

$π - \frac{9 π}{10}$

Step 2

To write $π$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$π \cdot \frac{10}{10} - \frac{9 π}{10}$

Step 3

Combine fractions.

Combine $π$ and $\frac{10}{10}$ .

$\frac{π \cdot 10}{10} - \frac{9 π}{10}$

Combine the numerators over the common denominator.

$\frac{π \cdot 10 - 9 π}{10}$

Step 4

Simplify the numerator.

Move $10$ to the left of $π$ .

$\frac{10 \cdot π - 9 π}{10}$

Subtract $9 π$ from $10 π$ .

$\frac{π}{10}$