Precalculus Examples

$\frac{19 π}{24}$

Step 1

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

$(\frac{19 π}{24}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $19 π$ .

$\frac{π \cdot 19}{24} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 19}{24} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{19}{24} \cdot 180$

Step 3

Cancel the common factor of $12$ .

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Step 3.1

Factor $12$ out of $24$ .

$\frac{19}{12 (2)} \cdot 180$

Step 3.2

Factor $12$ out of $180$ .

$\frac{19}{12 \cdot 2} \cdot (12 \cdot 15)$

Step 3.3

Cancel the common factor.

$\frac{19}{12 \cdot 2} \cdot (12 \cdot 15)$

Step 3.4

Rewrite the expression.

$\frac{19}{2} \cdot 15$

Step 4

Combine $\frac{19}{2}$ and $15$ .

$\frac{19 \cdot 15}{2}$

Step 5

Multiply $19$ by $15$ .

$\frac{285}{2}$

Step 6

Convert to a decimal.

$142.5 °$