Precalculus Examples

$\frac{π}{9}$

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\frac{π}{9}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor out the greatest common factor $π$ .

$\frac{π \cdot 1}{9} \cdot \frac{180}{π \cdot 1}$

Cancel the common factor.

$\frac{π \cdot 1}{9} \cdot \frac{180}{π \cdot 1}$

Rewrite the expression.

$\frac{1}{9} \cdot \frac{180}{1}$

Cancel the common factor of $9$ .

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Factor out the greatest common factor $9$ .

$\frac{1}{9 \cdot 1} \cdot \frac{9 \cdot 20}{1}$

Cancel the common factor.

$\frac{1}{9 \cdot 1} \cdot \frac{9 \cdot 20}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{20}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{20}{1}$ .

$\frac{20}{1}$

Divide $20$ by $1$ .

$20$

Convert to a decimal.

$20 °$

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