Finite Math Examples

$- \frac{11}{6}$

Step 1

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

$(- \frac{11}{6}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Move the leading negative in $- \frac{11}{6}$ into the numerator.

$\frac{- 11}{6} \cdot \frac{180}{π}$

Step 2.2

Factor $6$ out of $180$ .

$\frac{- 11}{6} \cdot \frac{6 (30)}{π}$

Step 2.3

Cancel the common factor.

$\frac{- 11}{6} \cdot \frac{6 \cdot 30}{π}$

Step 2.4

Rewrite the expression.

$- 11 \cdot \frac{30}{π}$

Step 3

Combine $- 11$ and $\frac{30}{π}$ .

$\frac{- 11 \cdot 30}{π}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 11$ by $30$ .

$\frac{- 330}{π}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{330}{π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$- \frac{330}{3.14159265}$

Step 6

Convert to a decimal.

$- 105.04226244 °$