Precalculus Examples

$\frac{π}{5}$

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

$(\frac{π}{5}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor out the greatest common factor $π$ .

$\frac{π \cdot 1}{5} \cdot \frac{180}{π \cdot 1}$

Cancel the common factor.

$\frac{π \cdot 1}{5} \cdot \frac{180}{π \cdot 1}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{180}{1}$

Cancel the common factor of $5$ .

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Factor out the greatest common factor $5$ .

$\frac{1}{5 \cdot 1} \cdot \frac{5 \cdot 36}{1}$

Cancel the common factor.

$\frac{1}{5 \cdot 1} \cdot \frac{5 \cdot 36}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{36}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{36}{1}$ .

$\frac{36}{1}$

Divide $36$ by $1$ .

$36$

Convert to a decimal.

$36 °$

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