Precalculus Examples

$158 (\frac{5}{6})$

Step 1

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

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $158 (\frac{5}{6})$ .

$2 (79 (\frac{5}{6})) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $2$ out of $180$ .

$2 (79 (\frac{5}{6})) \cdot \frac{π}{2 (90)}$ radians

Step 2.3

Cancel the common factor.

$2 (79 (\frac{5}{6})) \cdot \frac{π}{2 \cdot 90}$ radians

Step 2.4

Rewrite the expression.

$79 (\frac{5}{6}) \cdot \frac{π}{90}$ radians

Step 3

Combine $79$ and $\frac{5}{6}$ .

$\frac{79 \cdot 5}{6} \cdot \frac{π}{90}$ radians

Step 4

Multiply $79$ by $5$ .

$\frac{395}{6} \cdot \frac{π}{90}$ radians

Step 5

Multiply $\frac{395}{6}$ by $\frac{π}{90}$ .

$\frac{395 π}{6 \cdot 90}$ radians

Step 6

Multiply $6$ by $90$ .

$\frac{395 π}{540}$ radians

Step 7

Cancel the common factor of $395$ and $540$ .

Tap for more steps...

Step 7.1

Factor $5$ out of $395 π$ .

$\frac{5 (79 π)}{540}$ radians

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Factor $5$ out of $540$ .

$\frac{5 (79 π)}{5 (108)}$ radians

Step 7.2.2

Cancel the common factor.

$\frac{5 (79 π)}{5 \cdot 108}$ radians

Step 7.2.3

Rewrite the expression.

$\frac{79 π}{108}$ radians