Precalculus Examples

$\frac{6}{5}$

Step 1

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

$(\frac{6}{5}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $180$ .

$\frac{6}{5} \cdot \frac{5 (36)}{π}$

Step 2.2

Cancel the common factor.

$\frac{6}{5} \cdot \frac{5 \cdot 36}{π}$

Step 2.3

Rewrite the expression.

$6 \cdot \frac{36}{π}$

Step 3

Combine $6$ and $\frac{36}{π}$ .

$\frac{6 \cdot 36}{π}$

Step 4

Multiply $6$ by $36$ .

$\frac{216}{π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$\frac{216}{3.14159265}$

Step 6

Convert to a decimal.

$68.75493541 °$